Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cs |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2446080 |
Modular degree for the optimal curve |
Δ |
-3723482042670973050 = -1 · 2 · 37 · 52 · 1311 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,344165,50934515] |
[a1,a2,a3,a4,a6] |
Generators |
[4752444:252815449:1728] |
Generators of the group modulo torsion |
j |
934036024855751/771416901450 |
j-invariant |
L |
8.2748538617345 |
L(r)(E,1)/r! |
Ω |
0.16092113938606 |
Real period |
R |
6.427724381325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7410c1 |
Quadratic twists by: 13 |