Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840be |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
378880000 = 214 · 54 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -3 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:25:1] |
Generators of the group modulo torsion |
j |
40247296/23125 |
j-invariant |
L |
3.1241425440027 |
L(r)(E,1)/r! |
Ω |
1.4138113710829 |
Real period |
R |
1.1048654042193 |
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 |
11840f1 2960k1 106560gd1 59200cb1 |
Quadratic twists by: -4 8 -3 5 |