Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650bq |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1254781792773437500 = -1 · 22 · 511 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-384880,-106444753] |
[a1,a2,a3,a4,a6] |
Generators |
[2651026:55093765:2744] |
Generators of the group modulo torsion |
j |
-303180038976339/60335112500 |
j-invariant |
L |
7.1082748668533 |
L(r)(E,1)/r! |
Ω |
0.094820999286832 |
Real period |
R |
6.2470997265796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730a1 78650b1 |
Quadratic twists by: 5 -11 |