Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248l |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.6513820155414E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16697473,-26255491967] |
[a1,a2,a3,a4,a6] |
Generators |
[-2353:696:1] |
Generators of the group modulo torsion |
j |
1963975500122834382625/62995224591882 |
j-invariant |
L |
4.0313730129225 |
L(r)(E,1)/r! |
Ω |
0.074685742140256 |
Real period |
R |
2.9987673811264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248cb4 1914m4 |
Quadratic twists by: -4 8 |