Atkin-Lehner |
2- 3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bk |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-100393398411264 = -1 · 213 · 37 · 73 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5269,-460357] |
[a1,a2,a3,a4,a6] |
Generators |
[267:4330:1] |
Generators of the group modulo torsion |
j |
22195148248727/137713852416 |
j-invariant |
L |
12.697407816118 |
L(r)(E,1)/r! |
Ω |
0.29894700030286 |
Real period |
R |
0.81680337746975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22134q1 |
Quadratic twists by: -3 |