Atkin-Lehner |
2- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110cg |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-220440220000000 = -1 · 28 · 57 · 72 · 113 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12565,466225] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-1335:1] [-20:465:1] |
Generators of the group modulo torsion |
j |
164827994764789/165620000000 |
j-invariant |
L |
13.187858451146 |
L(r)(E,1)/r! |
Ω |
0.36922802478018 |
Real period |
R |
0.31890519749965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110110bf1 |
Quadratic twists by: -11 |