Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270bp |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-1640308320000 = -1 · 28 · 36 · 54 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2729,28265] |
[a1,a2,a3,a4,a6] |
Generators |
[8:221:1] |
Generators of the group modulo torsion |
j |
6552850393097/4782240000 |
j-invariant |
L |
11.398975667985 |
L(r)(E,1)/r! |
Ω |
0.53659704197373 |
Real period |
R |
0.44256423569092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60270ba1 |
Quadratic twists by: -7 |