Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
65712u |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1022976 |
Modular degree for the optimal curve |
Δ |
-1.4372728727417E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,185728,179718720] |
[a1,a2,a3,a4,a6] |
Generators |
[-14407816280:-15198158047136:1141166125] |
Generators of the group modulo torsion |
j |
1331/27 |
j-invariant |
L |
6.4205468050634 |
L(r)(E,1)/r! |
Ω |
0.16619752544192 |
Real period |
R |
19.316012039281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4107b1 65712v1 |
Quadratic twists by: -4 37 |