Atkin-Lehner |
2+ 7- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15946c |
Isogeny class |
Conductor |
15946 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1096797772 = 22 · 72 · 174 · 67 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1387,20169] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:183:1] |
Generators of the group modulo torsion |
j |
295208740751625/1096797772 |
j-invariant |
L |
3.7066643557995 |
L(r)(E,1)/r! |
Ω |
1.5566909940414 |
Real period |
R |
0.59527940515935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127568w2 111622b2 |
Quadratic twists by: -4 -7 |