Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bg |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-9661317120 = -1 · 218 · 34 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,415,3297] |
[a1,a2,a3,a4,a6] |
Generators |
[106:837:8] |
Generators of the group modulo torsion |
j |
30080231/36855 |
j-invariant |
L |
6.5021439218859 |
L(r)(E,1)/r! |
Ω |
0.86579619776082 |
Real period |
R |
3.7550083609646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gq1 1365e1 |
Quadratic twists by: -4 8 |