Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050bl |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
784 |
Product of Tamagawa factors cp |
deg |
16257024 |
Modular degree for the optimal curve |
Δ |
1.5830329270705E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41372356,82621097858] |
[a1,a2,a3,a4,a6] |
Generators |
[-7028:165581:1] |
Generators of the group modulo torsion |
j |
62653371059507322824764397/12664263416563969890624 |
j-invariant |
L |
5.0651969214942 |
L(r)(E,1)/r! |
Ω |
0.080057201318822 |
Real period |
R |
0.3228047072852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64050bz1 |
Quadratic twists by: 5 |