Atkin-Lehner |
2+ 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560h |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
3054315600 = 24 · 35 · 52 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-455,-2478] |
[a1,a2,a3,a4,a6] |
j |
652517349376/190894725 |
j-invariant |
L |
1.0567022222537 |
L(r)(E,1)/r! |
Ω |
1.0567023850417 |
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 |
56280l1 |
Quadratic twists by: -4 |