Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6840t |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
615625978320 = 24 · 310 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2298,-19307] |
[a1,a2,a3,a4,a6] |
j |
115060504576/52780005 |
j-invariant |
L |
2.8812618097553 |
L(r)(E,1)/r! |
Ω |
0.72031545243882 |
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 |
13680k1 54720by1 2280e1 34200bg1 |
Quadratic twists by: -4 8 -3 5 |