Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696bz |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-4.1113010330948E+23 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 11- 3 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12474132,25770736816] |
[a1,a2,a3,a4,a6] |
Generators |
[7868592790:1315884874752:6331625] |
Generators of the group modulo torsion |
j |
43307231/82944 |
j-invariant |
L |
7.3575638373053 |
L(r)(E,1)/r! |
Ω |
0.065170841417243 |
Real period |
R |
14.112070056074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696gf1 2178i1 23232bu1 69696cb1 |
Quadratic twists by: -4 8 -3 -11 |