Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
612d |
Isogeny class |
Conductor |
612 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-562017989376 = -1 · 28 · 317 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -3 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14592,679412] |
[a1,a2,a3,a4,a6] |
j |
-1841198792704/3011499 |
j-invariant |
L |
1.8421967286487 |
L(r)(E,1)/r! |
Ω |
0.92109836432436 |
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 |
2448r1 9792w1 204a1 15300r1 |
Quadratic twists by: -4 8 -3 5 |