Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728by |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
90436534272 = 220 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9409,-354145] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2112:1] |
Generators of the group modulo torsion |
j |
351447414193/344988 |
j-invariant |
L |
5.949856122688 |
L(r)(E,1)/r! |
Ω |
0.48476966530148 |
Real period |
R |
3.0683933775924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dw2 1554g2 |
Quadratic twists by: -4 8 |