Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
522k |
Isogeny class |
Conductor |
522 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-1014768 = -1 · 24 · 37 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4,47] |
[a1,a2,a3,a4,a6] |
j |
12167/1392 |
j-invariant |
L |
2.1298310269397 |
L(r)(E,1)/r! |
Ω |
2.1298310269397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4176bf1 16704t1 174d1 13050l1 |
Quadratic twists by: -4 8 -3 5 |