Atkin-Lehner |
3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11115c |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-935269729875 = -1 · 313 · 53 · 13 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 3 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1977,-31941] |
[a1,a2,a3,a4,a6] |
j |
1172239069184/1282948875 |
j-invariant |
L |
3.8166090398212 |
L(r)(E,1)/r! |
Ω |
0.47707612997765 |
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 |
3705h1 55575t1 |
Quadratic twists by: -3 5 |