Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240k |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-40512337920 = -1 · 211 · 310 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,-12238] |
[a1,a2,a3,a4,a6] |
Generators |
[37:108:1] |
Generators of the group modulo torsion |
j |
-27995042/27135 |
j-invariant |
L |
5.9732174254051 |
L(r)(E,1)/r! |
Ω |
0.44287781743005 |
Real period |
R |
1.6859100835265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24120e1 16080e1 |
Quadratic twists by: -4 -3 |