Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dz |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-4534344360000 = -1 · 26 · 34 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3884,-43934] |
[a1,a2,a3,a4,a6] |
j |
101220756956864/70849130625 |
j-invariant |
L |
1.748240715042 |
L(r)(E,1)/r! |
Ω |
0.43706018412258 |
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 |
87360ge1 43680ch2 |
Quadratic twists by: -4 8 |