Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768cc |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1997632 = -1 · 26 · 74 · 13 |
Discriminant |
Eigenvalues |
2- -2 4 7+ -5 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-78] |
[a1,a2,a3,a4,a6] |
j |
-3136/13 |
j-invariant |
L |
1.0817159927889 |
L(r)(E,1)/r! |
Ω |
1.0817159928322 |
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 |
40768ca1 20384a1 40768dz1 |
Quadratic twists by: -4 8 -7 |