Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558r |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-468402858 = -1 · 2 · 33 · 73 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-101,1071] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:41:1] |
Generators of the group modulo torsion |
j |
-86938307/351918 |
j-invariant |
L |
3.33144005406 |
L(r)(E,1)/r! |
Ω |
1.4509008676442 |
Real period |
R |
0.38268638516216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558bp1 |
Quadratic twists by: -11 |