Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240fi |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1552795765309440 = -1 · 228 · 37 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-141132,-20495216] |
[a1,a2,a3,a4,a6] |
j |
-1626794704081/8125440 |
j-invariant |
L |
0.98497097549651 |
L(r)(E,1)/r! |
Ω |
0.1231213710093 |
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 |
66240cv1 16560bh1 22080cq1 |
Quadratic twists by: -4 8 -3 |