Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976bd |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-932762142321408 = -1 · 28 · 37 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20580,931588] |
[a1,a2,a3,a4,a6] |
j |
896000/867 |
j-invariant |
L |
2.610418759852 |
L(r)(E,1)/r! |
Ω |
0.32630234506054 |
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 |
119952p1 19992m1 59976bg1 |
Quadratic twists by: -4 -3 -7 |