Atkin-Lehner |
2+ 5- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60680c |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1799719494830080 = -1 · 211 · 5 · 37 · 416 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15080,-2166992] |
[a1,a2,a3,a4,a6] |
Generators |
[5354:135751:8] |
Generators of the group modulo torsion |
j |
-185193859865042/878769284585 |
j-invariant |
L |
5.762825797257 |
L(r)(E,1)/r! |
Ω |
0.1949705554441 |
Real period |
R |
4.9262359848365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360i2 |
Quadratic twists by: -4 |