Atkin-Lehner |
7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6293c |
Isogeny class |
Conductor |
6293 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
6293 = 7 · 29 · 31 |
Discriminant |
Eigenvalues |
0 -2 2 7+ 3 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-147,639] |
[a1,a2,a3,a4,a6] |
Generators |
[7:1:1] |
Generators of the group modulo torsion |
j |
353693237248/6293 |
j-invariant |
L |
2.3768035773498 |
L(r)(E,1)/r! |
Ω |
3.8917866297614 |
Real period |
R |
0.61072299266714 |
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 |
100688bg1 56637d1 44051k1 |
Quadratic twists by: -4 -3 -7 |