Atkin-Lehner |
2- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
11390i |
Isogeny class |
Conductor |
11390 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11952 |
Modular degree for the optimal curve |
Δ |
-882178280 = -1 · 23 · 5 · 173 · 672 |
Discriminant |
Eigenvalues |
2- 3 5- 4 -2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-372,3199] |
[a1,a2,a3,a4,a6] |
j |
-5678813154321/882178280 |
j-invariant |
L |
9.1372756477908 |
L(r)(E,1)/r! |
Ω |
1.5228792746318 |
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 |
91120q1 102510g1 56950d1 |
Quadratic twists by: -4 -3 5 |