Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bp |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
3.1747407711624E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-87012131,311190223169] |
[a1,a2,a3,a4,a6] |
Generators |
[-3481:757990:1] |
Generators of the group modulo torsion |
j |
41125104693338423360329/179205840000000000 |
j-invariant |
L |
8.6330818061589 |
L(r)(E,1)/r! |
Ω |
0.097110420433768 |
Real period |
R |
1.7096085386265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610c2 |
Quadratic twists by: -11 |