Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bj |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
282178473984 = 212 · 36 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116352,15275952] |
[a1,a2,a3,a4,a6] |
Generators |
[201:99:1] |
Generators of the group modulo torsion |
j |
58338840674304/94501 |
j-invariant |
L |
7.0829964838541 |
L(r)(E,1)/r! |
Ω |
0.83273451045347 |
Real period |
R |
0.70880898946751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7029a1 12496d1 |
Quadratic twists by: -4 -3 |