Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bq |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-9389905805312 = -1 · 225 · 234 |
Discriminant |
Eigenvalues |
2- 3 2 -2 -4 -4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40204,-3106288] |
[a1,a2,a3,a4,a6] |
Generators |
[261234:3891968:729] |
Generators of the group modulo torsion |
j |
-97967097/128 |
j-invariant |
L |
10.46419777354 |
L(r)(E,1)/r! |
Ω |
0.16856531835762 |
Real period |
R |
5.1731666372694 |
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 |
33856v1 8464s1 33856br1 |
Quadratic twists by: -4 8 -23 |