Atkin-Lehner |
7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36113a |
Isogeny class |
Conductor |
36113 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-13577569155959347 = -1 · 712 · 114 · 67 |
Discriminant |
Eigenvalues |
0 0 2 7- 11+ -4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-246764,47513303] |
[a1,a2,a3,a4,a6] |
j |
-14124753468260352/115407433603 |
j-invariant |
L |
1.5975805042967 |
L(r)(E,1)/r! |
Ω |
0.39939512607204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159a1 |
Quadratic twists by: -7 |