Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23534i |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
10906239337336 = 23 · 7 · 417 |
Discriminant |
Eigenvalues |
2+ -3 -1 7+ -4 6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67555,-6739523] |
[a1,a2,a3,a4,a6] |
Generators |
[-4083:2882:27] |
Generators of the group modulo torsion |
j |
7177888089/2296 |
j-invariant |
L |
1.5564600248678 |
L(r)(E,1)/r! |
Ω |
0.29613737030452 |
Real period |
R |
1.3139679258205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
574e1 |
Quadratic twists by: 41 |