Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626t |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21419398058947668 = 22 · 310 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-729635,-239601009] |
[a1,a2,a3,a4,a6] |
Generators |
[-62445:55444:125] |
Generators of the group modulo torsion |
j |
2441288319625/1217268 |
j-invariant |
L |
10.366576235448 |
L(r)(E,1)/r! |
Ω |
0.16335641107446 |
Real period |
R |
7.9324834627166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22542a2 3978g2 |
Quadratic twists by: -3 17 |