Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
60564i |
Isogeny class |
Conductor |
60564 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-146605033877734656 = -1 · 28 · 39 · 710 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17852,-18450636] |
[a1,a2,a3,a4,a6] |
j |
-20892021712/4867664949 |
j-invariant |
L |
2.6193605933462 |
L(r)(E,1)/r! |
Ω |
0.14552003315032 |
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 |
8652d1 |
Quadratic twists by: -7 |