Atkin-Lehner |
2+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202n |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5346432 |
Modular degree for the optimal curve |
Δ |
-469100888772012952 = -1 · 23 · 76 · 139 · 47 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -2 13- -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2363468,-1399906360] |
[a1,a2,a3,a4,a6] |
j |
-137683852131853/44236024 |
j-invariant |
L |
2.9222344567896 |
L(r)(E,1)/r! |
Ω |
0.060879872350081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111202v1 |
Quadratic twists by: 13 |