Atkin-Lehner |
3- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
52185i |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
134534648608605 = 32 · 5 · 76 · 714 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16906,634535] |
[a1,a2,a3,a4,a6] |
Generators |
[110:275:1] |
Generators of the group modulo torsion |
j |
4542131166481/1143525645 |
j-invariant |
L |
4.7344061643644 |
L(r)(E,1)/r! |
Ω |
0.5469871372812 |
Real period |
R |
4.3277125198108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1065b3 |
Quadratic twists by: -7 |