Atkin-Lehner |
3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11913c |
Isogeny class |
Conductor |
11913 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59280 |
Modular degree for the optimal curve |
Δ |
-95838246240363 = -1 · 33 · 11 · 199 |
Discriminant |
Eigenvalues |
-2 3+ 0 -4 11- 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,11432,19116] |
[a1,a2,a3,a4,a6] |
j |
512000/297 |
j-invariant |
L |
0.72172092465342 |
L(r)(E,1)/r! |
Ω |
0.36086046232671 |
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 |
35739l1 11913h1 |
Quadratic twists by: -3 -19 |