Atkin-Lehner |
2- 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14508a |
Isogeny class |
Conductor |
14508 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-49152403031472 = -1 · 24 · 39 · 132 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7128,409185] |
[a1,a2,a3,a4,a6] |
j |
-127179030528/156075049 |
j-invariant |
L |
3.4448239320593 |
L(r)(E,1)/r! |
Ω |
0.57413732200989 |
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 |
58032r1 14508b1 |
Quadratic twists by: -4 -3 |