Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752q |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-522081652248576 = -1 · 212 · 318 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7044,1075520] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:6955:8] |
Generators of the group modulo torsion |
j |
12944768192/174844089 |
j-invariant |
L |
4.9902518980981 |
L(r)(E,1)/r! |
Ω |
0.3860276706696 |
Real period |
R |
6.463593507106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752j2 31584r2 |
Quadratic twists by: -4 -3 |