Atkin-Lehner |
2- 3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906bg |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-9679907025365148 = -1 · 22 · 318 · 113 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79862,9912705] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1305:1] |
Generators of the group modulo torsion |
j |
-77270128054040089/13278336111612 |
j-invariant |
L |
3.9613762416349 |
L(r)(E,1)/r! |
Ω |
0.39337363691666 |
Real period |
R |
2.5175659155936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16302d1 |
Quadratic twists by: -3 |