Atkin-Lehner |
2+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40600c |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
164836000000 = 28 · 56 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6775,-213750] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:24:1] [211:2784:1] |
Generators of the group modulo torsion |
j |
8597884752/41209 |
j-invariant |
L |
8.4431835321346 |
L(r)(E,1)/r! |
Ω |
0.52637772513982 |
Real period |
R |
8.0200805703662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81200o2 1624e2 |
Quadratic twists by: -4 5 |