Atkin-Lehner |
3+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74589d |
Isogeny class |
Conductor |
74589 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
1.5147086894457E+19 |
Discriminant |
Eigenvalues |
1 3+ -2 -2 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26280466,-51866457545] |
[a1,a2,a3,a4,a6] |
j |
1114480307715839/8409663 |
j-invariant |
L |
0.066679365052843 |
L(r)(E,1)/r! |
Ω |
0.066679369360453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74589b1 |
Quadratic twists by: -23 |