Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bm |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-2714927838897700864 = -1 · 216 · 2310 |
Discriminant |
Eigenvalues |
2- 2 -1 2 -2 5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373121,-118113631] |
[a1,a2,a3,a4,a6] |
Generators |
[11943446298054624133573118872:-723351076246148076285353412171:3162843506922812556825241] |
Generators of the group modulo torsion |
j |
-2116 |
j-invariant |
L |
8.6776205231412 |
L(r)(E,1)/r! |
Ω |
0.094445652589066 |
Real period |
R |
45.939756279188 |
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 |
33856q1 8464h1 33856bl1 |
Quadratic twists by: -4 8 -23 |