Atkin-Lehner |
2- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6290g |
Isogeny class |
Conductor |
6290 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-629000 = -1 · 23 · 53 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 -4 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12,31] |
[a1,a2,a3,a4,a6] |
j |
206425071/629000 |
j-invariant |
L |
6.1058910252747 |
L(r)(E,1)/r! |
Ω |
2.0352970084249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50320n1 56610i1 31450c1 106930y1 |
Quadratic twists by: -4 -3 5 17 |