Atkin-Lehner |
7- 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14819d |
Isogeny class |
Conductor |
14819 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-7572509 = -1 · 72 · 29 · 732 |
Discriminant |
Eigenvalues |
1 3 -1 7- 5 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1720,-27031] |
[a1,a2,a3,a4,a6] |
j |
-562925697426009/7572509 |
j-invariant |
L |
5.9305537213505 |
L(r)(E,1)/r! |
Ω |
0.37065960758441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103733e1 |
Quadratic twists by: -7 |