Atkin-Lehner |
2+ 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330z |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9453677652046350 = 2 · 316 · 52 · 192 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-421659324,-3332552031270] |
[a1,a2,a3,a4,a6] |
j |
11373164188748320280858647489/12968007753150 |
j-invariant |
L |
0.53306370106701 |
L(r)(E,1)/r! |
Ω |
0.033316481313845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bm2 |
Quadratic twists by: -3 |