Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344j |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1038336 |
Modular degree for the optimal curve |
Δ |
31155761484660736 = 244 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 11+ 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-825441,-288804097] |
[a1,a2,a3,a4,a6] |
j |
237269779307308441/118849798144 |
j-invariant |
L |
0.31678975626292 |
L(r)(E,1)/r! |
Ω |
0.15839485046472 |
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 |
113344ef1 3542a1 |
Quadratic twists by: -4 8 |