Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024cy |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
276433737552 = 24 · 34 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49065,-4166784] |
[a1,a2,a3,a4,a6] |
j |
6939684880384/146853 |
j-invariant |
L |
0.64155872651483 |
L(r)(E,1)/r! |
Ω |
0.32077936082426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756r1 12432bt1 |
Quadratic twists by: -4 -7 |