Atkin-Lehner |
2+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200c |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1050624 |
Modular degree for the optimal curve |
Δ |
-1454954574218750000 = -1 · 24 · 512 · 113 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-539950,-163369125] |
[a1,a2,a3,a4,a6] |
j |
-69637687367215104/5819818296875 |
j-invariant |
L |
0.35056606290342 |
L(r)(E,1)/r! |
Ω |
0.087641597730273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50600k1 20240a1 |
Quadratic twists by: -4 5 |