Atkin-Lehner |
2+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450i |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
33774400 |
Modular degree for the optimal curve |
Δ |
-2.7022704800642E+27 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20072758,2500806364916] |
[a1,a2,a3,a4,a6] |
Generators |
[25254728:5677240761:512] |
Generators of the group modulo torsion |
j |
457946566370732177019/1383562485792894353408 |
j-invariant |
L |
4.3305791956924 |
L(r)(E,1)/r! |
Ω |
0.035702259255714 |
Real period |
R |
5.513502871158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65450bh1 |
Quadratic twists by: 5 |