Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13754h |
Isogeny class |
Conductor |
13754 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-110032 = -1 · 24 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 2 0 0 1 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12,5] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
359375/208 |
j-invariant |
L |
9.8673279444109 |
L(r)(E,1)/r! |
Ω |
1.9962496247551 |
Real period |
R |
1.2357332246989 |
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 |
110032n1 123786f1 13754i1 |
Quadratic twists by: -4 -3 -23 |