Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bh |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-9.5107556967003E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-747117,531165541] |
[a1,a2,a3,a4,a6] |
Generators |
[-526:28163:1] |
Generators of the group modulo torsion |
j |
-4048949315391625/8349634630848 |
j-invariant |
L |
3.3126130484266 |
L(r)(E,1)/r! |
Ω |
0.16901209025159 |
Real period |
R |
0.40833038415833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550bu4 3906u4 |
Quadratic twists by: -3 5 |