Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bg |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
488433254400 = 218 · 32 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2465,33825] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:252:1] |
Generators of the group modulo torsion |
j |
6321363049/1863225 |
j-invariant |
L |
6.5021439218859 |
L(r)(E,1)/r! |
Ω |
0.86579619776082 |
Real period |
R |
1.8775041804823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983381 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360gq2 1365e2 |
Quadratic twists by: -4 8 |