Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13794be |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
112605292495872 = 210 · 33 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-155185,-23589169] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:184:1] |
Generators of the group modulo torsion |
j |
233301213501481/63562752 |
j-invariant |
L |
4.2196189723407 |
L(r)(E,1)/r! |
Ω |
0.24054382110778 |
Real period |
R |
3.5083993867795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110352cq1 41382z1 1254c1 |
Quadratic twists by: -4 -3 -11 |