Atkin-Lehner |
2+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36050i |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1126562500 = 22 · 58 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-292,1116] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:38:1] |
Generators of the group modulo torsion |
j |
176558481/72100 |
j-invariant |
L |
3.6997235939204 |
L(r)(E,1)/r! |
Ω |
1.4016981592962 |
Real period |
R |
1.3197290619895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7210h1 |
Quadratic twists by: 5 |