Atkin-Lehner |
2- 3+ 7+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
60606y |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-1723089186 = -1 · 2 · 39 · 7 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -2 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2,-1997] |
[a1,a2,a3,a4,a6] |
j |
-27/87542 |
j-invariant |
L |
2.7345283156527 |
L(r)(E,1)/r! |
Ω |
0.68363207982802 |
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 |
60606g1 |
Quadratic twists by: -3 |