Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200cf |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10245120 |
Modular degree for the optimal curve |
Δ |
2.6736662786868E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 -2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35095208,76070388912] |
[a1,a2,a3,a4,a6] |
Generators |
[-14938404:37797072:2197] |
Generators of the group modulo torsion |
j |
119510811483499825/6684165696717 |
j-invariant |
L |
5.0109073813633 |
L(r)(E,1)/r! |
Ω |
0.096570839043996 |
Real period |
R |
12.972102724544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5325i1 85200dy1 |
Quadratic twists by: -4 5 |