Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752bg |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-704971366848 = -1 · 26 · 314 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3261,82276] |
[a1,a2,a3,a4,a6] |
j |
-82199392192/15109983 |
j-invariant |
L |
3.4743673925692 |
L(r)(E,1)/r! |
Ω |
0.86859179140823 |
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 |
94752k1 31584n1 |
Quadratic twists by: -4 -3 |