Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648r |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
6913872 = 24 · 32 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63,126] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
256000/63 |
j-invariant |
L |
8.4212434210271 |
L(r)(E,1)/r! |
Ω |
2.217802441656 |
Real period |
R |
1.8985558097494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296a1 60648y1 |
Quadratic twists by: -4 -19 |