Atkin-Lehner |
2+ 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
37168a |
Isogeny class |
Conductor |
37168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
854864 = 24 · 232 · 101 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26,-25] |
[a1,a2,a3,a4,a6] |
j |
121485312/53429 |
j-invariant |
L |
1.1007815830985 |
L(r)(E,1)/r! |
Ω |
2.201563166229 |
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 |
18584b1 |
Quadratic twists by: -4 |