Atkin-Lehner |
2+ 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774o |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4250249353629905472 = 26 · 37 · 74 · 118 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-678258,190923156] |
[a1,a2,a3,a4,a6] |
Generators |
[-612:19710:1] |
Generators of the group modulo torsion |
j |
47334884176554361633/5830246026927168 |
j-invariant |
L |
3.5055600111833 |
L(r)(E,1)/r! |
Ω |
0.23760691346239 |
Real period |
R |
0.92210069630563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258bd3 |
Quadratic twists by: -3 |