Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3150o |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
19136250000 = 24 · 37 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,5616] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:123:1] |
Generators of the group modulo torsion |
j |
4826809/1680 |
j-invariant |
L |
2.7143883908305 |
L(r)(E,1)/r! |
Ω |
1.1215928566871 |
Real period |
R |
0.60502979638442 |
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 |
25200ea1 100800ft1 1050p1 630j1 |
Quadratic twists by: -4 8 -3 5 |