Atkin-Lehner |
2- 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560be |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
11077592400 = 24 · 310 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-561,936] |
[a1,a2,a3,a4,a6] |
j |
1222548865024/692349525 |
j-invariant |
L |
1.0999472372747 |
L(r)(E,1)/r! |
Ω |
1.0999475549704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140o1 |
Quadratic twists by: -4 |