Atkin-Lehner |
2+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768h |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
168600044913664 = 210 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 1 13- -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14177,-183289] |
[a1,a2,a3,a4,a6] |
j |
53385472/28561 |
j-invariant |
L |
1.8611924167803 |
L(r)(E,1)/r! |
Ω |
0.46529810422608 |
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 |
40768cg1 5096a1 40768t1 |
Quadratic twists by: -4 8 -7 |