Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648be |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
995597568 = 28 · 34 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-652,-6448] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:12:1] |
Generators of the group modulo torsion |
j |
17483632/567 |
j-invariant |
L |
8.2393281998926 |
L(r)(E,1)/r! |
Ω |
0.94655340972487 |
Real period |
R |
1.0880696370987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296k2 60648e2 |
Quadratic twists by: -4 -19 |