Atkin-Lehner |
2+ 3+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
83472d |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-16438880855808 = -1 · 28 · 36 · 374 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49268,4230144] |
[a1,a2,a3,a4,a6] |
j |
-51663920570962000/64214378343 |
j-invariant |
L |
1.3870154311305 |
L(r)(E,1)/r! |
Ω |
0.69350768680129 |
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 |
41736e1 |
Quadratic twists by: -4 |