Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32798c |
Isogeny class |
Conductor |
32798 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
103867550608974848 = 210 · 237 · 313 |
Discriminant |
Eigenvalues |
2+ -2 0 4 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7557041,-7996669116] |
[a1,a2,a3,a4,a6] |
Generators |
[-2232371344:1152797281:1404928] |
Generators of the group modulo torsion |
j |
322412557611777625/701637632 |
j-invariant |
L |
3.0512704803415 |
L(r)(E,1)/r! |
Ω |
0.091056651092136 |
Real period |
R |
11.169861266749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1426b1 |
Quadratic twists by: -23 |