Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ck |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-210116672067993600 = -1 · 242 · 3 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23681,22090719] |
[a1,a2,a3,a4,a6] |
Generators |
[14826:637329:8] |
Generators of the group modulo torsion |
j |
-5602762882081/801531494400 |
j-invariant |
L |
8.314361878271 |
L(r)(E,1)/r! |
Ω |
0.2589337961557 |
Real period |
R |
8.0274977639804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ec1 2730x1 |
Quadratic twists by: -4 8 |