Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150em |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-546066256320000000 = -1 · 212 · 312 · 57 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1684355,-841721853] |
[a1,a2,a3,a4,a6] |
j |
-46395601158168289/47939973120 |
j-invariant |
L |
6.3607082079047 |
L(r)(E,1)/r! |
Ω |
0.066257380838498 |
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 |
37050h1 22230v1 |
Quadratic twists by: -3 5 |