Atkin-Lehner |
2- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640k |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-9223884800 = -1 · 212 · 52 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 6 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2176,-40076] |
[a1,a2,a3,a4,a6] |
j |
-278317173889/2251925 |
j-invariant |
L |
4.1918881388757 |
L(r)(E,1)/r! |
Ω |
0.34932401157577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2665d1 |
Quadratic twists by: -4 |