Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650b |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-3679200 = -1 · 25 · 32 · 52 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,35,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
181323455/147168 |
j-invariant |
L |
3.5947927090725 |
L(r)(E,1)/r! |
Ω |
1.3812829281426 |
Real period |
R |
1.3012514077319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650dm1 |
Quadratic twists by: 5 |