Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800ci |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-47254753280000 = -1 · 215 · 54 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -3 -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8608,-454412] |
[a1,a2,a3,a4,a6] |
Generators |
[906:1519:8] |
Generators of the group modulo torsion |
j |
-27557573425/18458888 |
j-invariant |
L |
5.5298154066305 |
L(r)(E,1)/r! |
Ω |
0.24062730901263 |
Real period |
R |
2.8726038153098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850bd1 86800bv1 |
Quadratic twists by: -4 5 |