Atkin-Lehner |
2+ 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650k |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
246400 |
Modular degree for the optimal curve |
Δ |
-51684849284750 = -1 · 2 · 53 · 117 · 1032 |
Discriminant |
Eigenvalues |
2+ -1 5- -5 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15285,799075] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1205:1] [351:6056:1] |
Generators of the group modulo torsion |
j |
-3159762372347021/413478794278 |
j-invariant |
L |
4.8730880469686 |
L(r)(E,1)/r! |
Ω |
0.61270715383361 |
Real period |
R |
0.28404900731394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56650bb1 |
Quadratic twists by: 5 |