Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1120b |
Isogeny class |
Conductor |
1120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-7024640 = -1 · 212 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -1 3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,-245] |
[a1,a2,a3,a4,a6] |
Generators |
[9:4:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
2.6973983638169 |
L(r)(E,1)/r! |
Ω |
0.8409506381228 |
Real period |
R |
1.6037792478748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1120k1 2240h1 10080bu1 5600s1 |
Quadratic twists by: -4 8 -3 5 |