Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11374j |
Isogeny class |
Conductor |
11374 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
2438117912494 = 2 · 1110 · 47 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 11- 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29587,-1959869] |
[a1,a2,a3,a4,a6] |
Generators |
[-51383828376:16946314015:527514112] |
Generators of the group modulo torsion |
j |
110433433/94 |
j-invariant |
L |
6.1794868432256 |
L(r)(E,1)/r! |
Ω |
0.36403776328984 |
Real period |
R |
16.974851145609 |
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 |
90992ba1 102366t1 11374e1 |
Quadratic twists by: -4 -3 -11 |