Atkin-Lehner |
2+ 3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970j |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3313614096000000 = -1 · 210 · 36 · 56 · 132 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36660,-618544] |
[a1,a2,a3,a4,a6] |
Generators |
[280:5476:1] |
Generators of the group modulo torsion |
j |
7474237640983359/4545424000000 |
j-invariant |
L |
3.8807832749238 |
L(r)(E,1)/r! |
Ω |
0.25922851646936 |
Real period |
R |
1.8713138352686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330g2 |
Quadratic twists by: -3 |