Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33712j |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3833674751338872832 = -1 · 220 · 711 · 432 |
Discriminant |
Eigenvalues |
2- 0 4 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,94717,-93532670] |
[a1,a2,a3,a4,a6] |
Generators |
[6893187135:216829306240:6967871] |
Generators of the group modulo torsion |
j |
195011097399/7955492608 |
j-invariant |
L |
7.1072518433536 |
L(r)(E,1)/r! |
Ω |
0.11922154916871 |
Real period |
R |
14.903454729682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4214a1 4816d1 |
Quadratic twists by: -4 -7 |