Atkin-Lehner |
5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13975d |
Isogeny class |
Conductor |
13975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-22175775654296875 = -1 · 510 · 134 · 433 |
Discriminant |
Eigenvalues |
-2 2 5+ -2 -4 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,32292,-6818432] |
[a1,a2,a3,a4,a6] |
Generators |
[143:838:1] |
Generators of the group modulo torsion |
j |
381324800000/2270799427 |
j-invariant |
L |
2.9249052596169 |
L(r)(E,1)/r! |
Ω |
0.19088498307614 |
Real period |
R |
1.2769056058792 |
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 |
125775bc1 13975f1 |
Quadratic twists by: -3 5 |