Atkin-Lehner |
2+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95830a |
Isogeny class |
Conductor |
95830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
525915040 = 25 · 5 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -6 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-213,-563] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:30:1] |
Generators of the group modulo torsion |
j |
786395521/384160 |
j-invariant |
L |
2.326549281552 |
L(r)(E,1)/r! |
Ω |
1.31220567268 |
Real period |
R |
0.88650329177105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999352221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95830x1 |
Quadratic twists by: 37 |