Atkin-Lehner |
3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96075bc |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
1823923828125 = 37 · 59 · 7 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 -5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4800,110281] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-563:1] |
Generators of the group modulo torsion |
j |
1073741824/160125 |
j-invariant |
L |
4.4649756297274 |
L(r)(E,1)/r! |
Ω |
0.80096835825144 |
Real period |
R |
0.34840449656281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999727165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32025g1 19215p1 |
Quadratic twists by: -3 5 |