Atkin-Lehner |
2- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7670h |
Isogeny class |
Conductor |
7670 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-5184920 = -1 · 23 · 5 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- 0 -2 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,30,92] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
2979767519/5184920 |
j-invariant |
L |
7.4015782421384 |
L(r)(E,1)/r! |
Ω |
1.6593782248386 |
Real period |
R |
1.4868175985733 |
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 |
61360n1 69030i1 38350e1 99710c1 |
Quadratic twists by: -4 -3 5 13 |