Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
522i |
Isogeny class |
Conductor |
522 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-25056 = -1 · 25 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 -5 4 -6 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1,7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
9261/928 |
j-invariant |
L |
2.3142517113004 |
L(r)(E,1)/r! |
Ω |
2.8948486012344 |
Real period |
R |
0.079943790853642 |
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 |
4176v1 16704f1 522a1 13050e1 |
Quadratic twists by: -4 8 -3 5 |