Atkin-Lehner |
2+ 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110be |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-377677300000 = -1 · 25 · 55 · 74 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2807,-65611] |
[a1,a2,a3,a4,a6] |
j |
-20225874341761/3121300000 |
j-invariant |
L |
3.2517048917394 |
L(r)(E,1)/r! |
Ω |
0.32517048842235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110cu1 |
Quadratic twists by: -11 |