Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432u |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1419970608 = -1 · 24 · 33 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 4 2 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-595,-6076] |
[a1,a2,a3,a4,a6] |
j |
-1458425767936/88748163 |
j-invariant |
L |
2.8893680453889 |
L(r)(E,1)/r! |
Ω |
0.48156134089815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6216n1 49728dp1 37296bh1 87024x1 |
Quadratic twists by: -4 8 -3 -7 |