Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360y |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-4396972769280 = -1 · 230 · 32 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4095,-4095] |
[a1,a2,a3,a4,a6] |
Generators |
[548:11363:64] |
Generators of the group modulo torsion |
j |
28962726911/16773120 |
j-invariant |
L |
6.4558260836542 |
L(r)(E,1)/r! |
Ω |
0.46187795201913 |
Real period |
R |
6.9886709875302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360hj1 2730y1 |
Quadratic twists by: -4 8 |