Atkin-Lehner |
2+ 5+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61640a |
Isogeny class |
Conductor |
61640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11864980044800 = 210 · 52 · 23 · 674 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13763,-598962] |
[a1,a2,a3,a4,a6] |
j |
281554896882276/11586894575 |
j-invariant |
L |
0.88379738902796 |
L(r)(E,1)/r! |
Ω |
0.44189869285558 |
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 |
123280a3 |
Quadratic twists by: -4 |