Atkin-Lehner |
2- 3+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082bf |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
13777920 |
Modular degree for the optimal curve |
Δ |
-5.4121677629479E+23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -4 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12493006,-31050670031] |
[a1,a2,a3,a4,a6] |
j |
93120448241218581/233717761220608 |
j-invariant |
L |
2.4803587270951 |
L(r)(E,1)/r! |
Ω |
0.047699208117385 |
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 |
89082e1 12726h1 |
Quadratic twists by: -3 -7 |