Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575s |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-217421875 = -1 · 57 · 112 · 23 |
Discriminant |
Eigenvalues |
2 2 5+ 0 11- 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,92,593] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:179:8] |
Generators of the group modulo torsion |
j |
45056/115 |
j-invariant |
L |
19.858249881651 |
L(r)(E,1)/r! |
Ω |
1.2403342963091 |
Real period |
R |
4.0026003351096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915d1 69575t1 |
Quadratic twists by: 5 -11 |