Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
522m |
Isogeny class |
Conductor |
522 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
12320 |
Modular degree for the optimal curve |
Δ |
-452899485828347904 = -1 · 211 · 327 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 5 -6 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69341,-33115291] |
[a1,a2,a3,a4,a6] |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
2.7832213779816 |
L(r)(E,1)/r! |
Ω |
0.12651006263553 |
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 |
4176bh1 16704bc1 174a1 13050p1 |
Quadratic twists by: -4 8 -3 5 |