Atkin-Lehner |
2- 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
83472u |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-116898708307968 = -1 · 214 · 34 · 374 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11936,-132748] |
[a1,a2,a3,a4,a6] |
j |
45909631702943/28539723708 |
j-invariant |
L |
1.3623245883089 |
L(r)(E,1)/r! |
Ω |
0.34058116413981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10434g4 |
Quadratic twists by: -4 |