Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6630t |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1501644718080 = 224 · 34 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3230,37595] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:295:1] |
Generators of the group modulo torsion |
j |
3726830856733921/1501644718080 |
j-invariant |
L |
4.8169354006547 |
L(r)(E,1)/r! |
Ω |
0.77052187796531 |
Real period |
R |
2.0838410685905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53040db1 19890i1 33150o1 86190g1 |
Quadratic twists by: -4 -3 5 13 |