Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640n |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-65216882077440 = -1 · 28 · 3 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7340,-455328] |
[a1,a2,a3,a4,a6] |
Generators |
[397:7684:1] |
Generators of the group modulo torsion |
j |
-3631696/5415 |
j-invariant |
L |
2.9955245486678 |
L(r)(E,1)/r! |
Ω |
0.24486876929466 |
Real period |
R |
6.1165916760718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320r1 4560i1 |
Quadratic twists by: -4 -19 |