Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544co |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-6216890351616 = -1 · 215 · 313 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4596,2896] |
[a1,a2,a3,a4,a6] |
j |
449455096/260253 |
j-invariant |
L |
1.807114058304 |
L(r)(E,1)/r! |
Ω |
0.45177851730276 |
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 |
68544bs1 34272bn1 22848bj1 |
Quadratic twists by: -4 8 -3 |