Atkin-Lehner |
2- 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430bi |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1125540 = 22 · 32 · 5 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26,0] |
[a1,a2,a3,a4,a6] |
j |
1948441249/1125540 |
j-invariant |
L |
4.6703728680598 |
L(r)(E,1)/r! |
Ω |
2.3351864340299 |
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 |
115440bn1 43290z1 72150h1 |
Quadratic twists by: -4 -3 5 |