Atkin-Lehner |
2- 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350ci |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-10345500 = -1 · 22 · 32 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108,-468] |
[a1,a2,a3,a4,a6] |
j |
-1115157653/82764 |
j-invariant |
L |
2.949196235123 |
L(r)(E,1)/r! |
Ω |
0.73729905877997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050cd1 31350k1 |
Quadratic twists by: -3 5 |