Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bw |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-2.5409839988736E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5062167,4451667741] |
[a1,a2,a3,a4,a6] |
Generators |
[1230:-9831:1] |
Generators of the group modulo torsion |
j |
-1259463573132482089/22307678453760 |
j-invariant |
L |
4.9071573487073 |
L(r)(E,1)/r! |
Ω |
0.17529262184692 |
Real period |
R |
1.7496305747981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850cq1 23310bt1 |
Quadratic twists by: -3 5 |