Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480d |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-34838910000 = -1 · 24 · 310 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498,9947] |
[a1,a2,a3,a4,a6] |
j |
-1171019776/2986875 |
j-invariant |
L |
2.0534233457489 |
L(r)(E,1)/r! |
Ω |
1.0267116728897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21240j1 14160d1 |
Quadratic twists by: -4 -3 |