Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400f |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
10252270000000000 = 210 · 510 · 75 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88408,-8897312] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:700:1] |
Generators of the group modulo torsion |
j |
4776209186116/640766875 |
j-invariant |
L |
6.5281161935997 |
L(r)(E,1)/r! |
Ω |
0.27932755065967 |
Real period |
R |
1.1685414090264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17080g1 |
Quadratic twists by: 5 |