Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966be |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
16934400 |
Modular degree for the optimal curve |
Δ |
-1.2355980016054E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680217620,-6830339289865] |
[a1,a2,a3,a4,a6] |
Generators |
[6603487739:-440781749265:205379] |
Generators of the group modulo torsion |
j |
-47746310242879869583883397625/16949218129017342902272 |
j-invariant |
L |
9.3383071269718 |
L(r)(E,1)/r! |
Ω |
0.014780813651997 |
Real period |
R |
7.5212586774707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774e1 |
Quadratic twists by: -3 |