Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800a |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4708900000000 = 28 · 58 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9175,321750] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:744:1] |
Generators of the group modulo torsion |
j |
21354132816/1177225 |
j-invariant |
L |
3.9150708587706 |
L(r)(E,1)/r! |
Ω |
0.76059675285182 |
Real period |
R |
2.5736836531426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996793 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43400j2 17360n2 |
Quadratic twists by: -4 5 |