Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424x |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-195428352 = -1 · 217 · 3 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 2 -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-673] |
[a1,a2,a3,a4,a6] |
Generators |
[898:26925:1] |
Generators of the group modulo torsion |
j |
-2/1491 |
j-invariant |
L |
11.149520780705 |
L(r)(E,1)/r! |
Ω |
0.81902878955118 |
Real period |
R |
6.8065499810593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424by1 11928h1 |
Quadratic twists by: -4 8 |