Atkin-Lehner |
2+ 5- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101050j |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-404200000000 = -1 · 29 · 58 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 0 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1633,-17459] |
[a1,a2,a3,a4,a6] |
Generators |
[219:3178:1] |
Generators of the group modulo torsion |
j |
1232459415/1034752 |
j-invariant |
L |
5.231212924271 |
L(r)(E,1)/r! |
Ω |
0.52324802259859 |
Real period |
R |
3.3325259999152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101050m1 |
Quadratic twists by: 5 |