Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840x |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
59200 = 26 · 52 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -5 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,-29] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] [6:5:1] |
Generators of the group modulo torsion |
j |
16777216/925 |
j-invariant |
L |
5.3186963776273 |
L(r)(E,1)/r! |
Ω |
2.2290740302349 |
Real period |
R |
1.1930282048702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11840a1 2960m1 106560fu1 59200cu1 |
Quadratic twists by: -4 8 -3 5 |