Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fb |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-118757601933750000 = -1 · 24 · 39 · 57 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,56245,-15779253] |
[a1,a2,a3,a4,a6] |
Generators |
[989:31230:1] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
9.0860355360574 |
L(r)(E,1)/r! |
Ω |
0.16590836417639 |
Real period |
R |
3.4228365996726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350i1 15210n1 450g1 |
Quadratic twists by: -3 5 13 |