Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160dm |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-26801602560000 = -1 · 226 · 32 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25505,1578975] |
[a1,a2,a3,a4,a6] |
Generators |
[85:180:1] |
Generators of the group modulo torsion |
j |
-6999657683689/102240000 |
j-invariant |
L |
9.7272912429349 |
L(r)(E,1)/r! |
Ω |
0.66951099308604 |
Real period |
R |
1.8161186567363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160l1 17040m1 |
Quadratic twists by: -4 8 |