Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376br |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1703429517888 = 26 · 35 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-301758,-63701784] |
[a1,a2,a3,a4,a6] |
Generators |
[1055:28126:1] [2492:121052:1] |
Generators of the group modulo torsion |
j |
403583419000000/226233 |
j-invariant |
L |
9.5188645503203 |
L(r)(E,1)/r! |
Ω |
0.2036970554992 |
Real period |
R |
23.365248278026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376cj1 12768u1 |
Quadratic twists by: -4 -7 |