Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624o |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-24100245633024 = -1 · 211 · 313 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11- -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,236194] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:396:1] [-1:486:1] |
Generators of the group modulo torsion |
j |
-2/16142247 |
j-invariant |
L |
10.966214183566 |
L(r)(E,1)/r! |
Ω |
0.53507642263452 |
Real period |
R |
0.64045840693418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48312g1 32208c1 |
Quadratic twists by: -4 -3 |