Atkin-Lehner |
2+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570l |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107712 |
Modular degree for the optimal curve |
Δ |
-409313403200 = -1 · 26 · 52 · 136 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 4 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1518,21364] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:46:1] |
Generators of the group modulo torsion |
j |
80062991/84800 |
j-invariant |
L |
4.896565511488 |
L(r)(E,1)/r! |
Ω |
0.62641161885086 |
Real period |
R |
1.9542124419357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
530d1 |
Quadratic twists by: 13 |