Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bf |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
2757888 |
Modular degree for the optimal curve |
Δ |
-1.7426117173248E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -5 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81341,-201048975] |
[a1,a2,a3,a4,a6] |
Generators |
[1378:-48689:1] |
Generators of the group modulo torsion |
j |
-10324481432209/3022848000000 |
j-invariant |
L |
9.7526015941922 |
L(r)(E,1)/r! |
Ω |
0.097917473217865 |
Real period |
R |
1.3105291728971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60270be1 |
Quadratic twists by: -7 |