Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852l |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7.6166417452552E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14200055372,651298404349428] |
[a1,a2,a3,a4,a6] |
Generators |
[8954045360263268349886906635313130891608437475532596963953242643204727454767381718504260979736892266:-1255765468253492428351344915968771164982748496616417793979690848050165349485490270935778547341436989205:92451378779593802735871440686940006015596873876148322163229885418509372275294190819918507920584] |
Generators of the group modulo torsion |
j |
1393746203803968446127568/335238123 |
j-invariant |
L |
12.10500552585 |
L(r)(E,1)/r! |
Ω |
0.079161018220812 |
Real period |
R |
152.916243347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4092a2 |
Quadratic twists by: -31 |