Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cg |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
973179322500 = 22 · 3 · 54 · 74 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2561,15141] |
[a1,a2,a3,a4,a6] |
Generators |
[-1374:3919:27] |
Generators of the group modulo torsion |
j |
1857646382771089/973179322500 |
j-invariant |
L |
9.5652127184596 |
L(r)(E,1)/r! |
Ω |
0.77327669779133 |
Real period |
R |
6.1848577267232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bp1 |
Quadratic twists by: -3 |