Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
522f |
Isogeny class |
Conductor |
522 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-59810510484 = -1 · 22 · 36 · 295 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 3 -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4095,102577] |
[a1,a2,a3,a4,a6] |
Generators |
[36:11:1] |
Generators of the group modulo torsion |
j |
-10418796526321/82044596 |
j-invariant |
L |
1.4521616721019 |
L(r)(E,1)/r! |
Ω |
1.1162693936923 |
Real period |
R |
0.13009061077081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4176bc2 16704r2 58b2 13050bi2 |
Quadratic twists by: -4 8 -3 5 |