Atkin-Lehner |
2+ 7- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
89474c |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1342656 |
Modular degree for the optimal curve |
Δ |
-1.0006219109988E+19 |
Discriminant |
Eigenvalues |
2+ 0 1 7- 11+ 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,290071,139737037] |
[a1,a2,a3,a4,a6] |
Generators |
[423:18173:1] |
Generators of the group modulo torsion |
j |
9555543772551/35423348224 |
j-invariant |
L |
3.8935058374194 |
L(r)(E,1)/r! |
Ω |
0.16296127883629 |
Real period |
R |
3.9820357495097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89474a1 |
Quadratic twists by: -7 |