Atkin-Lehner |
2+ 5+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101050b |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
32336000000 = 210 · 56 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -4 -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1967,32941] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:193:1] [3:163:1] |
Generators of the group modulo torsion |
j |
53881658433/2069504 |
j-invariant |
L |
7.1591358048626 |
L(r)(E,1)/r! |
Ω |
1.1594014798121 |
Real period |
R |
3.0874274046903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4042c1 |
Quadratic twists by: 5 |