Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570be |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.12876109375E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1834684,-892448518] |
[a1,a2,a3,a4,a6] |
Generators |
[-1341899:-693181:2197] |
Generators of the group modulo torsion |
j |
5805223604235668521/435937500000000 |
j-invariant |
L |
5.1802924279121 |
L(r)(E,1)/r! |
Ω |
0.13033658018577 |
Real period |
R |
9.9363747700904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930d2 |
Quadratic twists by: -7 |