Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596f |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-7.8289357456942E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1738503,-1609561746] |
[a1,a2,a3,a4,a6] |
Generators |
[4654:301834:1] |
Generators of the group modulo torsion |
j |
-23892339312/32189287 |
j-invariant |
L |
7.6521014794044 |
L(r)(E,1)/r! |
Ω |
0.062627332444149 |
Real period |
R |
3.0546173668048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115596e1 8892a1 |
Quadratic twists by: -3 13 |