Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445bd |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
52027329025 = 52 · 78 · 192 |
Discriminant |
Eigenvalues |
-1 1 5- 7+ 3 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1765,26200] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:145:1] |
Generators of the group modulo torsion |
j |
292201/25 |
j-invariant |
L |
5.5947413775343 |
L(r)(E,1)/r! |
Ω |
1.0960344558947 |
Real period |
R |
0.85075509551932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999789647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445r1 88445ba1 |
Quadratic twists by: -7 -19 |