Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624n |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
1001797632 = 211 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,1154] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:38:1] |
Generators of the group modulo torsion |
j |
1825346/671 |
j-invariant |
L |
6.3622197656302 |
L(r)(E,1)/r! |
Ω |
1.4282000869033 |
Real period |
R |
2.2273558924267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48312f1 10736b1 |
Quadratic twists by: -4 -3 |