Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60690bs |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
330480 |
Modular degree for the optimal curve |
Δ |
-329604539087250 = -1 · 2 · 33 · 53 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26305,1849025] |
[a1,a2,a3,a4,a6] |
j |
-288568081/47250 |
j-invariant |
L |
4.6982250615118 |
L(r)(E,1)/r! |
Ω |
0.52202500668939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60690bv1 |
Quadratic twists by: 17 |