Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800hl |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
553420896000 = 28 · 3 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3348,-64308] |
[a1,a2,a3,a4,a6] |
j |
1102736/147 |
j-invariant |
L |
1.2662894804112 |
L(r)(E,1)/r! |
Ω |
0.63314474036582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bu2 58800kc2 8400cq2 |
Quadratic twists by: -4 5 -7 |