Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956l |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-2993125097749248 = -1 · 28 · 312 · 76 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4573,2636425] |
[a1,a2,a3,a4,a6] |
j |
-351232000/99379467 |
j-invariant |
L |
2.2007047962441 |
L(r)(E,1)/r! |
Ω |
0.36678412282374 |
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 |
2244b1 |
Quadratic twists by: -7 |