Atkin-Lehner |
2+ 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bf |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
154560 |
Modular degree for the optimal curve |
Δ |
-11242546875000 = -1 · 23 · 37 · 59 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1049,-160702] |
[a1,a2,a3,a4,a6] |
Generators |
[52:161:1] |
Generators of the group modulo torsion |
j |
65450827/5756184 |
j-invariant |
L |
5.615827886259 |
L(r)(E,1)/r! |
Ω |
0.34114922943815 |
Real period |
R |
1.1758213962968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350bx1 |
Quadratic twists by: 5 |