Atkin-Lehner |
2- 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31668g |
Isogeny class |
Conductor |
31668 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1136598708392784 = 24 · 36 · 76 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26369,283416] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:819:1] [-119:1323:1] |
Generators of the group modulo torsion |
j |
126736345504694272/71037419274549 |
j-invariant |
L |
8.9305732338093 |
L(r)(E,1)/r! |
Ω |
0.42217332832221 |
Real period |
R |
0.19586858609536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672bf1 95004k1 |
Quadratic twists by: -4 -3 |