Atkin-Lehner |
3+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105r |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-2540379638671875 = -1 · 33 · 513 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-108901,14079666] |
[a1,a2,a3,a4,a6] |
j |
-2914923914834477056/51844482421875 |
j-invariant |
L |
0.91507079285313 |
L(r)(E,1)/r! |
Ω |
0.45753546025659 |
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 |
105105cf1 |
Quadratic twists by: -7 |