Atkin-Lehner |
11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
517b |
Isogeny class |
Conductor |
517 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72 |
Modular degree for the optimal curve |
Δ |
-24299 = -1 · 11 · 472 |
Discriminant |
Eigenvalues |
0 3 3 -2 11- -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16,-26] |
[a1,a2,a3,a4,a6] |
j |
-452984832/24299 |
j-invariant |
L |
2.37967118332 |
L(r)(E,1)/r! |
Ω |
1.18983559166 |
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 |
8272l1 33088h1 4653b1 12925d1 |
Quadratic twists by: -4 8 -3 5 |