Atkin-Lehner |
2+ 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13846c |
Isogeny class |
Conductor |
13846 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-30656456181232 = -1 · 24 · 7 · 236 · 432 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-697574,-224541628] |
[a1,a2,a3,a4,a6] |
Generators |
[7516754:368758685:2744] |
Generators of the group modulo torsion |
j |
-37540109966670836221033/30656456181232 |
j-invariant |
L |
5.3241060056723 |
L(r)(E,1)/r! |
Ω |
0.082598447664954 |
Real period |
R |
10.74295009205 |
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 |
110768q1 124614o1 96922o1 |
Quadratic twists by: -4 -3 -7 |