Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13794t |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-1248390574596 = -1 · 22 · 310 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- -7 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,360,53722] |
[a1,a2,a3,a4,a6] |
Generators |
[-1028239:1138071:29791] [-25:183:1] |
Generators of the group modulo torsion |
j |
353829047/85266756 |
j-invariant |
L |
4.8342043884239 |
L(r)(E,1)/r! |
Ω |
0.66697979350931 |
Real period |
R |
0.060399185945701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352bd1 41382cr1 13794bk1 |
Quadratic twists by: -4 -3 -11 |