Atkin-Lehner |
2+ 3- 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238bh |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1161716207176345392 = 24 · 311 · 116 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31530222,68153594724] |
[a1,a2,a3,a4,a6] |
Generators |
[4360:-118582:1] [1088073:1813104:343] |
Generators of the group modulo torsion |
j |
4755292954732213092006625/1593575044137648 |
j-invariant |
L |
8.1345752758719 |
L(r)(E,1)/r! |
Ω |
0.22121974655848 |
Real period |
R |
0.7660722918678 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746bi2 |
Quadratic twists by: -3 |