Atkin-Lehner |
2- 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
29574m |
Isogeny class |
Conductor |
29574 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-23386652167392 = -1 · 25 · 315 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 -5 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6826,-85435] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-581:1] |
Generators of the group modulo torsion |
j |
48256373511143/32080455648 |
j-invariant |
L |
7.8879304032027 |
L(r)(E,1)/r! |
Ω |
0.38428647373929 |
Real period |
R |
1.0263086189906 |
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 |
9858c1 |
Quadratic twists by: -3 |