Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456p |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
17259930058752 = 226 · 32 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85048,9516116] |
[a1,a2,a3,a4,a6] |
Generators |
[164:78:1] |
Generators of the group modulo torsion |
j |
16609676962173625/4213850112 |
j-invariant |
L |
7.2464121961635 |
L(r)(E,1)/r! |
Ω |
0.67574034933047 |
Real period |
R |
2.6809159033285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4182a1 100368bv1 |
Quadratic twists by: -4 -3 |