Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5880t |
Isogeny class |
Conductor |
5880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2988472838400 = 28 · 34 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20596,-1127804] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:50:1] |
Generators of the group modulo torsion |
j |
32082281296/99225 |
j-invariant |
L |
3.2884521106611 |
L(r)(E,1)/r! |
Ω |
0.39859589969832 |
Real period |
R |
2.0625225404664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11760y2 47040do2 17640bf2 29400br2 |
Quadratic twists by: -4 8 -3 5 |