Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690o |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-9989717713920 = -1 · 210 · 39 · 5 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -3 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1612,153424] |
[a1,a2,a3,a4,a6] |
j |
-1604507946409/34566497280 |
j-invariant |
L |
1.2178101196997 |
L(r)(E,1)/r! |
Ω |
0.6089050584372 |
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 |
60690x1 |
Quadratic twists by: 17 |