Atkin-Lehner |
2+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768i |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
415507456 = 210 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3 3 7+ 5 13- -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196,392] |
[a1,a2,a3,a4,a6] |
j |
338688/169 |
j-invariant |
L |
8.9297952553502 |
L(r)(E,1)/r! |
Ω |
1.4882992092072 |
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 |
40768ch1 2548a1 40768bd1 |
Quadratic twists by: -4 8 -7 |