Atkin-Lehner |
2- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114268f |
Isogeny class |
Conductor |
114268 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
8660366737458128 = 24 · 78 · 116 · 53 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64157,-4389008] |
[a1,a2,a3,a4,a6] |
j |
15515093696512/4600743917 |
j-invariant |
L |
1.8409715201585 |
L(r)(E,1)/r! |
Ω |
0.30682845459561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16324g1 |
Quadratic twists by: -7 |