Atkin-Lehner |
2+ 3+ 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150c |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
7257676800 = 210 · 3 · 52 · 113 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-520,-2240] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:56:1] |
Generators of the group modulo torsion |
j |
623875674865/290307072 |
j-invariant |
L |
3.1643031521739 |
L(r)(E,1)/r! |
Ω |
1.0453659601807 |
Real period |
R |
1.5134906138215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150cf1 |
Quadratic twists by: 5 |