Atkin-Lehner |
2+ 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560d |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
148394531250000 = 24 · 34 · 512 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17871,714546] |
[a1,a2,a3,a4,a6] |
j |
39452506070923264/9274658203125 |
j-invariant |
L |
0.54445753773405 |
L(r)(E,1)/r! |
Ω |
0.54445789796647 |
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 |
56280h1 |
Quadratic twists by: -4 |