Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920l |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-1300054860000000 = -1 · 28 · 36 · 57 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4863,-1739662] |
[a1,a2,a3,a4,a6] |
j |
-68150496976/6966171875 |
j-invariant |
L |
1.2834193264812 |
L(r)(E,1)/r! |
Ω |
0.21390320838796 |
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 |
9880k1 |
Quadratic twists by: -3 |