Atkin-Lehner |
2+ 3- 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534s |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
83968 |
Modular degree for the optimal curve |
Δ |
-56777503068 = -1 · 22 · 310 · 11 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2187,41553] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-54:1] [-27:297:1] |
Generators of the group modulo torsion |
j |
-1587282504625/77884092 |
j-invariant |
L |
8.9135310330004 |
L(r)(E,1)/r! |
Ω |
1.1032345214059 |
Real period |
R |
2.0198631523752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35178r1 |
Quadratic twists by: -3 |