Atkin-Lehner |
2+ 3- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31734b |
Isogeny class |
Conductor |
31734 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-10281816 = -1 · 23 · 36 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 -1 3 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144,-648] |
[a1,a2,a3,a4,a6] |
j |
-454756609/14104 |
j-invariant |
L |
1.3752286216785 |
L(r)(E,1)/r! |
Ω |
0.68761431083819 |
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 |
3526d1 |
Quadratic twists by: -3 |