Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14994r |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
359991318574750464 = 28 · 315 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 2 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-179496,4887616] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:5960:1] |
Generators of the group modulo torsion |
j |
152186997697/85660416 |
j-invariant |
L |
2.8279141228853 |
L(r)(E,1)/r! |
Ω |
0.26088256587433 |
Real period |
R |
1.3549746575666 |
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 |
119952ee1 4998y1 14994y1 |
Quadratic twists by: -4 -3 -7 |