Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9350bf |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-3535468750000 = -1 · 24 · 510 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3112,62281] |
[a1,a2,a3,a4,a6] |
j |
341297975/362032 |
j-invariant |
L |
6.2814907940683 |
L(r)(E,1)/r! |
Ω |
0.52345756617236 |
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 |
74800bm1 84150bd1 9350m1 102850i1 |
Quadratic twists by: -4 -3 5 -11 |