Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690ba |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
789737728500 = 22 · 38 · 53 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45133,3686468] |
[a1,a2,a3,a4,a6] |
Generators |
[109:200:1] |
Generators of the group modulo torsion |
j |
2069406085491737/160744500 |
j-invariant |
L |
5.7731710836215 |
L(r)(E,1)/r! |
Ω |
0.85342493990911 |
Real period |
R |
0.14093143045911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60690f2 |
Quadratic twists by: 17 |