Atkin-Lehner |
2- 3+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558bd |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-14727410998272 = -1 · 210 · 32 · 76 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10693,459467] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:844:1] |
Generators of the group modulo torsion |
j |
-135215024449884625/14727410998272 |
j-invariant |
L |
7.1861911250372 |
L(r)(E,1)/r! |
Ω |
0.68330069568873 |
Real period |
R |
0.1752813261272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674o1 |
Quadratic twists by: -3 |