Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650k |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
1854804525516800 = 211 · 52 · 118 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ -5 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32027,765221] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:998:1] |
Generators of the group modulo torsion |
j |
677951505/346112 |
j-invariant |
L |
3.2851265402889 |
L(r)(E,1)/r! |
Ω |
0.41397508355953 |
Real period |
R |
3.9677829322675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650cz1 78650br1 |
Quadratic twists by: 5 -11 |