Atkin-Lehner |
2+ 3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760r |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-181605615360 = -1 · 28 · 3 · 5 · 132 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,140,20540] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:3808:27] |
Generators of the group modulo torsion |
j |
1176960944/709396935 |
j-invariant |
L |
8.3195191028727 |
L(r)(E,1)/r! |
Ω |
0.78869994037004 |
Real period |
R |
5.2741978769342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880p1 |
Quadratic twists by: -4 |