Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13794k |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-2921131427732914176 = -1 · 222 · 32 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 11- -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15499134,-23492614284] |
[a1,a2,a3,a4,a6] |
Generators |
[126948:2290702:27] |
Generators of the group modulo torsion |
j |
-1920899191546985353/13627293696 |
j-invariant |
L |
2.3425825972293 |
L(r)(E,1)/r! |
Ω |
0.038044555319061 |
Real period |
R |
2.5656130660301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352cc1 41382cq1 13794bd1 |
Quadratic twists by: -4 -3 -11 |