Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
14760m |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-8263710720 = -1 · 211 · 39 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 4 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,4374] |
[a1,a2,a3,a4,a6] |
j |
-54/205 |
j-invariant |
L |
2.1019308492664 |
L(r)(E,1)/r! |
Ω |
1.0509654246332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29520d1 118080g1 14760a1 73800f1 |
Quadratic twists by: -4 8 -3 5 |