Atkin-Lehner |
3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305t |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.9143201061602E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1561661328,-23753672726807] |
[a1,a2,a3,a4,a6] |
Generators |
[-1020852619255:522670352418:44738875] |
Generators of the group modulo torsion |
j |
708102767635831683894241/14986500682545 |
j-invariant |
L |
8.1575864628802 |
L(r)(E,1)/r! |
Ω |
0.024016119800072 |
Real period |
R |
10.614727881114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045e7 |
Quadratic twists by: 29 |