Atkin-Lehner |
3+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
111549b |
Isogeny class |
Conductor |
111549 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-4509690687537982101 = -1 · 35 · 198 · 1033 |
Discriminant |
Eigenvalues |
-1 3+ 1 0 6 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,385360,-44123146] |
[a1,a2,a3,a4,a6] |
j |
134524670164919/95857290621 |
j-invariant |
L |
1.1034185118473 |
L(r)(E,1)/r! |
Ω |
0.13792747902354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5871d1 |
Quadratic twists by: -19 |