Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690l |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-2.3450157051135E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7417573,-7813643123] |
[a1,a2,a3,a4,a6] |
j |
-9186763300983704416553/47730830553907200 |
j-invariant |
L |
0.54871950308575 |
L(r)(E,1)/r! |
Ω |
0.04572662538458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60690bc1 |
Quadratic twists by: 17 |