Atkin-Lehner |
2+ 3+ 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606b |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-1112316705864 = -1 · 23 · 33 · 77 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 2 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14250,-653156] |
[a1,a2,a3,a4,a6] |
j |
-11852819862156027/41196915032 |
j-invariant |
L |
0.87374365370075 |
L(r)(E,1)/r! |
Ω |
0.21843591400048 |
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 |
60606t1 |
Quadratic twists by: -3 |