Atkin-Lehner |
2+ 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60350c |
Isogeny class |
Conductor |
60350 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-37718750 = -1 · 2 · 56 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 -4 -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,-302] |
[a1,a2,a3,a4,a6] |
j |
-117649/2414 |
j-invariant |
L |
0.88547908600811 |
L(r)(E,1)/r! |
Ω |
0.88547908428705 |
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 |
2414d1 |
Quadratic twists by: 5 |