Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6370i |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-248239248821200 = -1 · 24 · 52 · 710 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18057,-1210411] |
[a1,a2,a3,a4,a6] |
Generators |
[350:5783:1] |
Generators of the group modulo torsion |
j |
-2305248169/878800 |
j-invariant |
L |
4.3456420360396 |
L(r)(E,1)/r! |
Ω |
0.20209460878269 |
Real period |
R |
5.3757520576815 |
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 |
50960bv1 57330dy1 31850cd1 6370a1 |
Quadratic twists by: -4 -3 5 -7 |