Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840ba |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3031040 = 214 · 5 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241,-1521] |
[a1,a2,a3,a4,a6] |
j |
94875856/185 |
j-invariant |
L |
1.2114237950554 |
L(r)(E,1)/r! |
Ω |
1.2114237950554 |
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 |
11840d1 2960c1 106560ft1 59200da1 |
Quadratic twists by: -4 8 -3 5 |