Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152x |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
476696346624 = 216 · 32 · 292 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2264,25584] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:174:1] |
Generators of the group modulo torsion |
j |
313461959257/116380944 |
j-invariant |
L |
2.3593753611771 |
L(r)(E,1)/r! |
Ω |
0.85373844103453 |
Real period |
R |
1.3817905155562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5394g2 129456bf2 |
Quadratic twists by: -4 -3 |