Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bc |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3691777600000000 = 212 · 58 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40675,1193250] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:2046:1] |
Generators of the group modulo torsion |
j |
116285729841/57684025 |
j-invariant |
L |
6.0252017838948 |
L(r)(E,1)/r! |
Ω |
0.39266139694501 |
Real period |
R |
3.8361307166122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995027 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5425e2 17360bk2 |
Quadratic twists by: -4 5 |