Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376cj |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
71906140197384192 = 212 · 310 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-303473,62939295] |
[a1,a2,a3,a4,a6] |
Generators |
[415:-2940:1] [-473:10044:1] |
Generators of the group modulo torsion |
j |
6414120712000/149216823 |
j-invariant |
L |
12.909110716258 |
L(r)(E,1)/r! |
Ω |
0.34530030615564 |
Real period |
R |
0.46731462751398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376br2 12768o2 |
Quadratic twists by: -4 -7 |