Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bp |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
3004636390981632 = 215 · 36 · 116 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 3 11- 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280971,-57263814] |
[a1,a2,a3,a4,a6] |
Generators |
[-314:44:1] |
Generators of the group modulo torsion |
j |
821524892664393/1006246648 |
j-invariant |
L |
6.9968792807993 |
L(r)(E,1)/r! |
Ω |
0.20737964273487 |
Real period |
R |
2.8116225167518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14058g1 12496e1 |
Quadratic twists by: -4 -3 |