Atkin-Lehner |
2+ 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576i |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-1221289104384 = -1 · 210 · 38 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -1 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45723,3763514] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:1836:1] [139:306:1] |
Generators of the group modulo torsion |
j |
-14161210570084/1636029 |
j-invariant |
L |
9.742868546184 |
L(r)(E,1)/r! |
Ω |
0.83002674284927 |
Real period |
R |
0.48908406815037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45288k1 30192b1 |
Quadratic twists by: -4 -3 |