Atkin-Lehner |
2- 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
60520i |
Isogeny class |
Conductor |
60520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
2483369648996000000 = 28 · 56 · 178 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-352180,27001572] |
[a1,a2,a3,a4,a6] |
j |
18870310545595974736/9700662691390625 |
j-invariant |
L |
2.7232446005203 |
L(r)(E,1)/r! |
Ω |
0.22693705049969 |
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 |
121040h1 |
Quadratic twists by: -4 |