Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81862b |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11904000 |
Modular degree for the optimal curve |
Δ |
1.1599824586323E+21 |
Discriminant |
Eigenvalues |
2+ -1 -4 2 11+ -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51945237,144069947245] |
[a1,a2,a3,a4,a6] |
Generators |
[4539:40522:1] |
Generators of the group modulo torsion |
j |
300872095888141441/22515023872 |
j-invariant |
L |
1.3267242271298 |
L(r)(E,1)/r! |
Ω |
0.1468553320808 |
Real period |
R |
2.2585564468769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1342c1 |
Quadratic twists by: 61 |