Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
60690bk |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
594864 |
Modular degree for the optimal curve |
Δ |
-18375819281379840 = -1 · 29 · 3 · 5 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60696,-8723751] |
[a1,a2,a3,a4,a6] |
j |
-3544973569/2634240 |
j-invariant |
L |
3.9774429063342 |
L(r)(E,1)/r! |
Ω |
0.14731270025645 |
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 |
60690cd1 |
Quadratic twists by: 17 |