Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840a |
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 |
[4:5:1] |
Generators of the group modulo torsion |
j |
16777216/925 |
j-invariant |
L |
4.5297721172326 |
L(r)(E,1)/r! |
Ω |
3.4636717327561 |
Real period |
R |
0.6538974341007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11840x1 185b1 106560cw1 59200z1 |
Quadratic twists by: -4 8 -3 5 |