Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270p |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-12965860992000000 = -1 · 213 · 3 · 56 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 -4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,46867,3846056] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1842:1] |
Generators of the group modulo torsion |
j |
96772120393031/110208000000 |
j-invariant |
L |
6.408860032807 |
L(r)(E,1)/r! |
Ω |
0.26567399236361 |
Real period |
R |
1.0051259903941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8610b1 |
Quadratic twists by: -7 |