Atkin-Lehner |
2- 3- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
48348i |
Isogeny class |
Conductor |
48348 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
4260812544 = 28 · 36 · 172 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 2 3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2199,39566] |
[a1,a2,a3,a4,a6] |
Generators |
[23:34:1] |
Generators of the group modulo torsion |
j |
6301325392/22831 |
j-invariant |
L |
4.7395750500247 |
L(r)(E,1)/r! |
Ω |
1.3901169051654 |
Real period |
R |
0.56824657844992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5372a1 |
Quadratic twists by: -3 |