Atkin-Lehner |
2+ 5+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850b |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2437894469000000 = 26 · 56 · 176 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-864425,308973125] |
[a1,a2,a3,a4,a6] |
Generators |
[1450:45175:1] |
Generators of the group modulo torsion |
j |
4571791616781001873/156025246016 |
j-invariant |
L |
7.6216924961647 |
L(r)(E,1)/r! |
Ω |
0.42844351293036 |
Real period |
R |
4.4473146777357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3434b2 |
Quadratic twists by: 5 |