Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4624d |
Isogeny class |
Conductor |
4624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7143175619584 = -1 · 210 · 178 |
Discriminant |
Eigenvalues |
2+ -2 2 -2 -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4528,-51260] |
[a1,a2,a3,a4,a6] |
Generators |
[394:4335:8] |
Generators of the group modulo torsion |
j |
415292/289 |
j-invariant |
L |
2.637821161592 |
L(r)(E,1)/r! |
Ω |
0.4211708088719 |
Real period |
R |
3.1315336984742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2312c2 18496p2 41616y2 115600g2 |
Quadratic twists by: -4 8 -3 5 |