Atkin-Lehner |
7+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11137b |
Isogeny class |
Conductor |
11137 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-24257265823 = -1 · 7 · 374 · 432 |
Discriminant |
Eigenvalues |
1 0 0 7+ 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19622,-1053081] |
[a1,a2,a3,a4,a6] |
j |
-835537557081389625/24257265823 |
j-invariant |
L |
0.20168887670321 |
L(r)(E,1)/r! |
Ω |
0.20168887670321 |
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 |
100233h1 77959b1 |
Quadratic twists by: -3 -7 |