Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ee |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
32760000 = 26 · 32 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,270] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:18:1] |
Generators of the group modulo torsion |
j |
1544804416/511875 |
j-invariant |
L |
4.1716744080185 |
L(r)(E,1)/r! |
Ω |
1.9138129771642 |
Real period |
R |
2.1797711972172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gg1 43680t2 |
Quadratic twists by: -4 8 |