Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016k |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46632960 |
Modular degree for the optimal curve |
Δ |
-3.5962368088767E+28 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 2 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-967065592,-14738525687012] |
[a1,a2,a3,a4,a6] |
Generators |
[2354038841001645217071087356885431101609887154660904731788841779956901173069394160857564716175580704090637377331425840759719217453171324794088298079711261:374710049900447344129290014995093397324474458476786286068791528499204068379255739288429284302508058022034962557270915555269361479401426908278763005373876686:46748274779109576499481170277589590531050930885021403471882805367097179239963692783341836957424550475613107836603705986901765330445803503156972049821] |
Generators of the group modulo torsion |
j |
-9061589884199351908/3258075751785207 |
j-invariant |
L |
6.1024147143834 |
L(r)(E,1)/r! |
Ω |
0.013296747953743 |
Real period |
R |
229.47019585589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106032m1 1128d1 |
Quadratic twists by: -4 -47 |