Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710ca |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5.2243534130248E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4301250,-3417660465] |
[a1,a2,a3,a4,a6] |
Generators |
[-1135:2499:1] |
Generators of the group modulo torsion |
j |
4967657717692586041/29490113030400 |
j-invariant |
L |
8.8197506713926 |
L(r)(E,1)/r! |
Ω |
0.10487118047981 |
Real period |
R |
5.256300295928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994862 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610f2 |
Quadratic twists by: -11 |