Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fu |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-1428062088462336000 = -1 · 226 · 311 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,269268,-20331056] |
[a1,a2,a3,a4,a6] |
Generators |
[368:11340:1] |
Generators of the group modulo torsion |
j |
11298232190519/7472736000 |
j-invariant |
L |
8.7267863774823 |
L(r)(E,1)/r! |
Ω |
0.1535395998665 |
Real period |
R |
2.3682235658718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ch1 22320bq1 29760cn1 |
Quadratic twists by: -4 8 -3 |