Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
522d |
Isogeny class |
Conductor |
522 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
-5918126976 = -1 · 27 · 313 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 2 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-3699] |
[a1,a2,a3,a4,a6] |
j |
-117649/8118144 |
j-invariant |
L |
1.2301477763546 |
L(r)(E,1)/r! |
Ω |
0.61507388817732 |
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 |
4176y1 16704bh1 174b1 13050bd1 |
Quadratic twists by: -4 8 -3 5 |