Atkin-Lehner |
2- 3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390br |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-190182919680 = -1 · 29 · 38 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113,-20959] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-500:1] |
Generators of the group modulo torsion |
j |
-217081801/260881920 |
j-invariant |
L |
10.409510104559 |
L(r)(E,1)/r! |
Ω |
0.45541891668013 |
Real period |
R |
0.63491666200047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26130n1 |
Quadratic twists by: -3 |