Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480j |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1649438513168768000 = 210 · 53 · 714 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2521883,-1540232582] |
[a1,a2,a3,a4,a6] |
Generators |
[-32991553672594:-13824152063247:35223040952] |
Generators of the group modulo torsion |
j |
14723474810172804/13691402375 |
j-invariant |
L |
5.2782146714309 |
L(r)(E,1)/r! |
Ω |
0.11980986161355 |
Real period |
R |
22.027463352817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37240n4 10640d3 |
Quadratic twists by: -4 -7 |