Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640x |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
15847702344817920 = 28 · 36 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 1 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283505,57690795] |
[a1,a2,a3,a4,a6] |
Generators |
[-602:3249:1] |
Generators of the group modulo torsion |
j |
579613696/3645 |
j-invariant |
L |
10.122638799358 |
L(r)(E,1)/r! |
Ω |
0.39437820036188 |
Real period |
R |
1.4259632546412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320e1 86640l1 |
Quadratic twists by: -4 -19 |