Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305f |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.593618361025E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2222360,-576470788] |
[a1,a2,a3,a4,a6] |
Generators |
[-1188:20311:1] [-1013:25736:1] |
Generators of the group modulo torsion |
j |
2040699095041321/940383163125 |
j-invariant |
L |
6.2911351179858 |
L(r)(E,1)/r! |
Ω |
0.12921677511737 |
Real period |
R |
3.0429171794373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045i3 |
Quadratic twists by: 29 |