Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984cg |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.5003088742163E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15175941,-7808580362] |
[a1,a2,a3,a4,a6] |
Generators |
[8586420910:782301200166:6331625] |
Generators of the group modulo torsion |
j |
146142660369886/94532266521 |
j-invariant |
L |
8.008201940534 |
L(r)(E,1)/r! |
Ω |
0.056368686124218 |
Real period |
R |
17.758534239696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968bj5 20328m6 5544g6 |
Quadratic twists by: -4 -3 -11 |