Atkin-Lehner |
2+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12650f |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-14547500000000000 = -1 · 211 · 513 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11+ 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159376,25154398] |
[a1,a2,a3,a4,a6] |
j |
-28652896908918001/931040000000 |
j-invariant |
L |
1.5726308201473 |
L(r)(E,1)/r! |
Ω |
0.39315770503682 |
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 |
101200bn1 113850eo1 2530k1 |
Quadratic twists by: -4 -3 5 |