Atkin-Lehner |
3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11913b |
Isogeny class |
Conductor |
11913 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-116759313 = -1 · 35 · 113 · 192 |
Discriminant |
Eigenvalues |
-1 3+ -2 3 11+ 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21,-510] |
[a1,a2,a3,a4,a6] |
j |
2828663/323433 |
j-invariant |
L |
0.88502489720853 |
L(r)(E,1)/r! |
Ω |
0.88502489720853 |
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 |
35739u1 11913f1 |
Quadratic twists by: -3 -19 |