Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880m |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8189019246240000 = 28 · 310 · 54 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102423,-11841622] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:630:1] |
Generators of the group modulo torsion |
j |
636720298643536/43879775625 |
j-invariant |
L |
5.8585188404475 |
L(r)(E,1)/r! |
Ω |
0.26802781488591 |
Real period |
R |
2.7322345457537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760x2 15960m2 |
Quadratic twists by: -4 -3 |