Atkin-Lehner |
2- 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944r |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-1401718571008 = -1 · 220 · 7 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1120,59136] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/342216448 |
j-invariant |
L |
2.9195413775329 |
L(r)(E,1)/r! |
Ω |
0.72988534445598 |
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 |
6118k1 |
Quadratic twists by: -4 |