Atkin-Lehner |
2+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200d |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1069056 |
Modular degree for the optimal curve |
Δ |
-1113356543750000 = -1 · 24 · 58 · 114 · 233 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 11+ 7 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68575,-7095875] |
[a1,a2,a3,a4,a6] |
j |
-142653079805184/4453426175 |
j-invariant |
L |
1.7668979920613 |
L(r)(E,1)/r! |
Ω |
0.14724150091528 |
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 |
50600c1 20240b1 |
Quadratic twists by: -4 5 |