Atkin-Lehner |
2- 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
87542g |
Isogeny class |
Conductor |
87542 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-711961741478624 = -1 · 25 · 7 · 137 · 373 |
Discriminant |
Eigenvalues |
2- 1 2 7- 1 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20868,-547600] |
[a1,a2,a3,a4,a6] |
j |
208211532983/147501536 |
j-invariant |
L |
8.5887269049863 |
L(r)(E,1)/r! |
Ω |
0.28629089426616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6734b1 |
Quadratic twists by: 13 |