Atkin-Lehner |
3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92925bb |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3271680 |
Modular degree for the optimal curve |
Δ |
29649616048828125 = 37 · 59 · 76 · 59 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -5 -3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2789625,1793338281] |
[a1,a2,a3,a4,a6] |
Generators |
[-1550:385871:8] |
Generators of the group modulo torsion |
j |
1686178797645824/20823873 |
j-invariant |
L |
10.661049877145 |
L(r)(E,1)/r! |
Ω |
0.33855908311075 |
Real period |
R |
1.9680925769057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30975w1 92925bo1 |
Quadratic twists by: -3 5 |