Atkin-Lehner |
2- 3+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
87216d |
Isogeny class |
Conductor |
87216 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1808510976 = -1 · 212 · 35 · 23 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 1 -6 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,283,-1011] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] [12:63:1] |
Generators of the group modulo torsion |
j |
609800192/441531 |
j-invariant |
L |
7.6337539690417 |
L(r)(E,1)/r! |
Ω |
0.83519311987271 |
Real period |
R |
9.1401063866486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5451b1 |
Quadratic twists by: -4 |