Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bb |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
71757502160400 = 24 · 312 · 52 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-941220,351702400] |
[a1,a2,a3,a4,a6] |
Generators |
[581:-1141:1] [-160:22400:1] |
Generators of the group modulo torsion |
j |
126493987789927840321/98432787600 |
j-invariant |
L |
6.9486472483778 |
L(r)(E,1)/r! |
Ω |
0.51165820668566 |
Real period |
R |
3.3951606548982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430ba2 |
Quadratic twists by: -3 |