Atkin-Lehner |
2- 3- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290bo |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
4.9882888544291E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6207737,5856933849] |
[a1,a2,a3,a4,a6] |
Generators |
[6557:493746:1] |
Generators of the group modulo torsion |
j |
36290758518464259926089/684264589084920000 |
j-invariant |
L |
8.830173313085 |
L(r)(E,1)/r! |
Ω |
0.16557492726169 |
Real period |
R |
0.37034984146742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430d2 |
Quadratic twists by: -3 |