Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680v |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
29286727680000 = 224 · 3 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46305,-3810975] |
[a1,a2,a3,a4,a6] |
j |
41886766402489/111720000 |
j-invariant |
L |
2.6040637411262 |
L(r)(E,1)/r! |
Ω |
0.32550781464716 |
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 |
127680go1 3990k1 |
Quadratic twists by: -4 8 |