Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888d |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-3376144176048 = -1 · 24 · 32 · 710 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16779,-835650] |
[a1,a2,a3,a4,a6] |
j |
-32653356854904832/211009011003 |
j-invariant |
L |
1.0482821371775 |
L(r)(E,1)/r! |
Ω |
0.20965642743569 |
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 |
13944h1 111552dr1 83664y1 |
Quadratic twists by: -4 8 -3 |