Atkin-Lehner |
2+ 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350k |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52058613304687500 = 22 · 310 · 59 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94325,-1995375] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:2745:1] |
Generators of the group modulo torsion |
j |
47520533621861/26654010012 |
j-invariant |
L |
4.0927868240621 |
L(r)(E,1)/r! |
Ω |
0.29288469153449 |
Real period |
R |
1.7467568903177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49350ci2 |
Quadratic twists by: 5 |