Atkin-Lehner |
2- 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330bu |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
801886469760000 = 210 · 38 · 54 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43007,3161639] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:1726:1] [-191:2188:1] |
Generators of the group modulo torsion |
j |
12067134779850409/1099981440000 |
j-invariant |
L |
12.008128976678 |
L(r)(E,1)/r! |
Ω |
0.48989289487362 |
Real period |
R |
0.61279358724813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13110l2 |
Quadratic twists by: -3 |