Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840h |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4.9121386875E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9862428,-5330164448] |
[a1,a2,a3,a4,a6] |
Generators |
[-298920:8458736:125] |
Generators of the group modulo torsion |
j |
35529391776305786176/16450653076171875 |
j-invariant |
L |
4.8728968222162 |
L(r)(E,1)/r! |
Ω |
0.089063285059562 |
Real period |
R |
9.1187908668115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15840r3 31680bg1 5280o3 79200dv3 |
Quadratic twists by: -4 8 -3 5 |