Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
770f |
Isogeny class |
Conductor |
770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
63690429687500 = 22 · 512 · 72 · 113 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26116,-1580604] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:258:1] |
Generators of the group modulo torsion |
j |
1969902499564819009/63690429687500 |
j-invariant |
L |
2.3511646469141 |
L(r)(E,1)/r! |
Ω |
0.37629901942862 |
Real period |
R |
3.1240642753789 |
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 |
6160g4 24640x4 6930p4 3850d4 |
Quadratic twists by: -4 8 -3 5 |