Atkin-Lehner |
2+ 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350q |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-23697870000000000 = -1 · 210 · 3 · 510 · 75 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,69674,-2172952] |
[a1,a2,a3,a4,a6] |
j |
3830406463775/2426661888 |
j-invariant |
L |
1.7426799815618 |
L(r)(E,1)/r! |
Ω |
0.21783499764629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350bw1 |
Quadratic twists by: 5 |