Atkin-Lehner |
2+ 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240m |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
3900441600 = 210 · 36 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,3206] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:16:1] |
Generators of the group modulo torsion |
j |
19307236/5225 |
j-invariant |
L |
6.711012303048 |
L(r)(E,1)/r! |
Ω |
1.3013758437294 |
Real period |
R |
2.5784297185536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360j1 |
Quadratic twists by: -3 |