Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075bo |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
364784765625 = 37 · 58 · 7 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5630,161372] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:105:1] [-36:580:1] |
Generators of the group modulo torsion |
j |
1732323601/32025 |
j-invariant |
L |
7.0062236687512 |
L(r)(E,1)/r! |
Ω |
0.95586396733151 |
Real period |
R |
1.8324322049864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32025x1 19215j1 |
Quadratic twists by: -3 5 |