Atkin-Lehner |
2- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
49984n |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
136250785792 = 217 · 114 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 1 11+ -7 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1473,12095] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:121:1] |
Generators of the group modulo torsion |
j |
2698465250/1039511 |
j-invariant |
L |
6.4047750991833 |
L(r)(E,1)/r! |
Ω |
0.94479566959903 |
Real period |
R |
1.6947513905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49984h1 12496c1 |
Quadratic twists by: -4 8 |