Atkin-Lehner |
2+ 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488u |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
887808 |
Modular degree for the optimal curve |
Δ |
-41670030385122048 = -1 · 28 · 323 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,65004,-7467644] |
[a1,a2,a3,a4,a6] |
j |
162770787034112/223283341827 |
j-invariant |
L |
1.5407430163558 |
L(r)(E,1)/r! |
Ω |
0.19259288459222 |
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 |
41496bc1 |
Quadratic twists by: -3 |