Atkin-Lehner |
3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6417f |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
14033979 = 39 · 23 · 31 |
Discriminant |
Eigenvalues |
1 3+ -3 3 -1 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5766,169973] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-21:1] |
Generators of the group modulo torsion |
j |
1077205843251/713 |
j-invariant |
L |
4.2373390793767 |
L(r)(E,1)/r! |
Ω |
1.8429708177584 |
Real period |
R |
1.1495947300269 |
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 |
102672x1 6417c1 |
Quadratic twists by: -4 -3 |