Atkin-Lehner |
2- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
109504u |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-26638997782528 = -1 · 229 · 292 · 59 |
Discriminant |
Eigenvalues |
2- 0 0 -1 3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11180,518352] |
[a1,a2,a3,a4,a6] |
j |
-589534466625/101619712 |
j-invariant |
L |
2.571532016891 |
L(r)(E,1)/r! |
Ω |
0.64288293934969 |
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 |
109504e1 27376c1 |
Quadratic twists by: -4 8 |