Atkin-Lehner |
2+ 3- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390h |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-146294553600 = -1 · 210 · 38 · 52 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,990,13716] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:105:1] |
Generators of the group modulo torsion |
j |
147114332639/200678400 |
j-invariant |
L |
3.5928529253968 |
L(r)(E,1)/r! |
Ω |
0.69563828265757 |
Real period |
R |
2.5824146078109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130bd1 |
Quadratic twists by: -3 |