Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576bv |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-9508306176 = -1 · 28 · 310 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 1 1 3 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1047,13858] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:162:1] |
Generators of the group modulo torsion |
j |
-680136784/50949 |
j-invariant |
L |
8.4264992333131 |
L(r)(E,1)/r! |
Ω |
1.2705255108206 |
Real period |
R |
1.6580736006076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22644h1 30192y1 |
Quadratic twists by: -4 -3 |