Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840w |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-355702769311968000 = -1 · 28 · 311 · 53 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160212,-37849916] |
[a1,a2,a3,a4,a6] |
Generators |
[2678:136890:1] |
Generators of the group modulo torsion |
j |
-504871936/394875 |
j-invariant |
L |
8.0924991279681 |
L(r)(E,1)/r! |
Ω |
0.11542989487227 |
Real period |
R |
0.36514312869296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680bq1 20280x1 4680o1 |
Quadratic twists by: -4 -3 13 |