Atkin-Lehner |
2+ 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350d |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
427680 |
Modular degree for the optimal curve |
Δ |
-45358688640375000 = -1 · 23 · 315 · 56 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-285475,59477125] |
[a1,a2,a3,a4,a6] |
j |
-164668416049678897/2902956072984 |
j-invariant |
L |
0.35986641970378 |
L(r)(E,1)/r! |
Ω |
0.35986641970355 |
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 |
94050dl1 1254j1 |
Quadratic twists by: -3 5 |