Atkin-Lehner |
2+ 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210j |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2436827648686905600 = 28 · 36 · 52 · 710 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1730607,-873782811] |
[a1,a2,a3,a4,a6] |
Generators |
[-155982:44971:216] |
Generators of the group modulo torsion |
j |
4872268712403422569/20712693254400 |
j-invariant |
L |
4.6325881392048 |
L(r)(E,1)/r! |
Ω |
0.13166216193843 |
Real period |
R |
8.796354379702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999401 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030j2 |
Quadratic twists by: -7 |