Atkin-Lehner |
2+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800ba |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-114800000000 = -1 · 210 · 58 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -4 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-16412] |
[a1,a2,a3,a4,a6] |
j |
-2500/287 |
j-invariant |
L |
1.8651024636066 |
L(r)(E,1)/r! |
Ω |
0.46627557444695 |
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 |
57400l1 114800j1 |
Quadratic twists by: -4 5 |