Atkin-Lehner |
3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6417m |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-1305160047 = -1 · 310 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 2 0 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,256,-790] |
[a1,a2,a3,a4,a6] |
j |
2554497863/1790343 |
j-invariant |
L |
1.7240942835358 |
L(r)(E,1)/r! |
Ω |
0.86204714176788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672bj1 2139f1 |
Quadratic twists by: -4 -3 |