Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cm |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1690387126272000 = -1 · 214 · 32 · 53 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13270,-2069293] |
[a1,a2,a3,a4,a6] |
Generators |
[317:-5229:1] |
Generators of the group modulo torsion |
j |
-53540005609/350208000 |
j-invariant |
L |
10.591664215823 |
L(r)(E,1)/r! |
Ω |
0.19806819502378 |
Real period |
R |
0.63660518937256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570b1 |
Quadratic twists by: 13 |