Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558y |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
117346053508068 = 22 · 3 · 74 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13434,-296936] |
[a1,a2,a3,a4,a6] |
Generators |
[-45567:421379:729] |
Generators of the group modulo torsion |
j |
151334226289/66238788 |
j-invariant |
L |
8.1736489073761 |
L(r)(E,1)/r! |
Ω |
0.4616161399714 |
Real period |
R |
8.8532962543241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778y1 |
Quadratic twists by: -11 |