Atkin-Lehner |
3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40749h |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
2481076579941 = 37 · 176 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 3 3 5 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3564,32258] |
[a1,a2,a3,a4,a6] |
j |
207474688/102789 |
j-invariant |
L |
1.4438165282911 |
L(r)(E,1)/r! |
Ω |
0.72190826408156 |
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 |
122247i1 141a1 |
Quadratic twists by: -3 17 |