Atkin-Lehner |
2+ 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610be |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-67542503698800 = -1 · 24 · 32 · 52 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6764,-450214] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2683:1] |
Generators of the group modulo torsion |
j |
-7088952961/13993200 |
j-invariant |
L |
7.0258770561444 |
L(r)(E,1)/r! |
Ω |
0.24745356107947 |
Real period |
R |
3.5490886844001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970q1 |
Quadratic twists by: 13 |