Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cw |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1695152406528000 = -1 · 219 · 34 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-559585,-161318017] |
[a1,a2,a3,a4,a6] |
j |
-73923540638379769/6466493250 |
j-invariant |
L |
2.0946512624817 |
L(r)(E,1)/r! |
Ω |
0.087277178706199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680eo1 3990b1 |
Quadratic twists by: -4 8 |