Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456cd |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
1.0154391215177E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 2 4 -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10119531,12389547418] |
[a1,a2,a3,a4,a6] |
Generators |
[-1513:155682:1] |
Generators of the group modulo torsion |
j |
38381097689522696233/3400685072384 |
j-invariant |
L |
10.226017440065 |
L(r)(E,1)/r! |
Ω |
0.21877216190847 |
Real period |
R |
2.337138616152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182o1 14384f1 |
Quadratic twists by: -4 -3 |