Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600bi |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1291315424000 = -1 · 28 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 1 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,327,54517] |
[a1,a2,a3,a4,a6] |
Generators |
[12:245:1] |
Generators of the group modulo torsion |
j |
1024/343 |
j-invariant |
L |
3.6688863028481 |
L(r)(E,1)/r! |
Ω |
0.66694192833785 |
Real period |
R |
1.3752645271499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800p1 78400ki1 19600bg1 2800j1 |
Quadratic twists by: -4 8 5 -7 |