Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856b |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-8667136 = -1 · 214 · 232 |
Discriminant |
Eigenvalues |
2+ 0 1 -2 -4 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92,368] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:7:1] [4:8:1] |
Generators of the group modulo torsion |
j |
-9936 |
j-invariant |
L |
8.3260236731935 |
L(r)(E,1)/r! |
Ω |
2.2625042692221 |
Real period |
R |
1.8400017596557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33856y1 2116b1 33856c1 |
Quadratic twists by: -4 8 -23 |