Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800a |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1254970340000000 = 28 · 57 · 137 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97175,11534250] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:4454:1] |
Generators of the group modulo torsion |
j |
5256144/65 |
j-invariant |
L |
5.7187038549769 |
L(r)(E,1)/r! |
Ω |
0.48629270114147 |
Real period |
R |
5.879898918443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67600a1 6760i1 2600j1 |
Quadratic twists by: -4 5 13 |