Atkin-Lehner |
2+ 5- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87550f |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
648000 |
Modular degree for the optimal curve |
Δ |
-457016471875000 = -1 · 23 · 58 · 175 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57700,5409000] |
[a1,a2,a3,a4,a6] |
Generators |
[108682749:863012307:493039] |
Generators of the group modulo torsion |
j |
-54387973519465/1169962168 |
j-invariant |
L |
7.4005738975513 |
L(r)(E,1)/r! |
Ω |
0.52697935495443 |
Real period |
R |
14.043384864654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87550q1 |
Quadratic twists by: 5 |