Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626g |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
75723807744 = 210 · 39 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 -2 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1584,20736] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:168:1] [0:144:1] |
Generators of the group modulo torsion |
j |
2086979041/359424 |
j-invariant |
L |
6.9131578842302 |
L(r)(E,1)/r! |
Ω |
1.0384112151814 |
Real period |
R |
0.83217970192895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22542x1 67626p1 |
Quadratic twists by: -3 17 |