Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796s |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2784600 |
Modular degree for the optimal curve |
Δ |
3907595642856100624 = 24 · 116 · 1310 |
Discriminant |
Eigenvalues |
2- 3 -2 1 11- 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3455881,-2470954915] |
[a1,a2,a3,a4,a6] |
Generators |
[-320735379310717911304123459911246473707593988291118872960970892:294077040341753574860536282114278203192055343994907811393529261:303549867193370555882443086194522276724439696821288316519569] |
Generators of the group modulo torsion |
j |
1168128 |
j-invariant |
L |
10.771872872231 |
L(r)(E,1)/r! |
Ω |
0.11073430368751 |
Real period |
R |
97.276747254666 |
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 |
676e1 81796r1 |
Quadratic twists by: -11 13 |