Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550cd |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
970448663700000000 = 28 · 39 · 58 · 793 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-249305,7072697] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:4288:1] |
Generators of the group modulo torsion |
j |
6017657724265/3407885568 |
j-invariant |
L |
9.2447504567593 |
L(r)(E,1)/r! |
Ω |
0.23960474694978 |
Real period |
R |
0.40190974991307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850r1 35550s1 |
Quadratic twists by: -3 5 |