Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850bf |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
697402406250 = 2 · 36 · 56 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11+ 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2592,-30434] |
[a1,a2,a3,a4,a6] |
j |
169112377/61226 |
j-invariant |
L |
1.3785676624625 |
L(r)(E,1)/r! |
Ω |
0.68928402065418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650v1 4554be1 |
Quadratic twists by: -3 5 |