Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cs |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
6758472674967552 = 218 · 33 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49731,1605186] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:1694:1] |
Generators of the group modulo torsion |
j |
69426531/34496 |
j-invariant |
L |
5.2118928785609 |
L(r)(E,1)/r! |
Ω |
0.37327403320034 |
Real period |
R |
1.7453306525675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246d1 121968cr1 11088bb1 |
Quadratic twists by: -4 -3 -11 |