Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376x |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
21029994048 = 26 · 3 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3838,89984] |
[a1,a2,a3,a4,a6] |
j |
830584000/2793 |
j-invariant |
L |
2.4332198237226 |
L(r)(E,1)/r! |
Ω |
1.2166099421386 |
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 |
89376e1 12768a1 |
Quadratic twists by: -4 -7 |