Atkin-Lehner |
2+ 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158s |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
100755938556 = 22 · 39 · 74 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1485,16249] |
[a1,a2,a3,a4,a6] |
Generators |
[5:92:1] [-30:197:1] |
Generators of the group modulo torsion |
j |
496981290961/138211164 |
j-invariant |
L |
7.4701061948551 |
L(r)(E,1)/r! |
Ω |
0.99093714524854 |
Real period |
R |
0.23557580791891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386q1 |
Quadratic twists by: -3 |