Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59220i |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
19340778240 = 28 · 38 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11343,-464938] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:2:1] |
Generators of the group modulo torsion |
j |
864848456656/103635 |
j-invariant |
L |
4.7019375648711 |
L(r)(E,1)/r! |
Ω |
0.46261604817181 |
Real period |
R |
1.6939668736163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740h2 |
Quadratic twists by: -3 |