Atkin-Lehner |
2- 5- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450bs |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
37152 |
Modular degree for the optimal curve |
Δ |
1461005000 = 23 · 54 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 1 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-880,-9653] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:21:1] |
Generators of the group modulo torsion |
j |
120456144225/2337608 |
j-invariant |
L |
10.518563790808 |
L(r)(E,1)/r! |
Ω |
0.87766637805278 |
Real period |
R |
0.44387758991872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450c1 |
Quadratic twists by: 5 |