Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bp |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1357824 |
Modular degree for the optimal curve |
Δ |
-147579312033792000 = -1 · 215 · 319 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -5 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2164908,1226186768] |
[a1,a2,a3,a4,a6] |
Generators |
[256:26244:1] |
Generators of the group modulo torsion |
j |
-46974761601263432/6178001625 |
j-invariant |
L |
3.7390639012758 |
L(r)(E,1)/r! |
Ω |
0.31385378625228 |
Real period |
R |
1.4891742833733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280bc1 44640w1 29760r1 |
Quadratic twists by: -4 8 -3 |