Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6630n |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
2899962000 = 24 · 38 · 53 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-468,-2942] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:30:1] |
Generators of the group modulo torsion |
j |
11301253512121/2899962000 |
j-invariant |
L |
3.714127505659 |
L(r)(E,1)/r! |
Ω |
1.0461676457473 |
Real period |
R |
0.29585184241718 |
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 |
53040ca1 19890v1 33150bf1 86190cn1 |
Quadratic twists by: -4 -3 5 13 |