Atkin-Lehner |
2- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39760bg |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
30548403200000 = 213 · 55 · 75 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -5 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7840,-28812] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:210:1] [-14:-280:1] |
Generators of the group modulo torsion |
j |
13012697849761/7458106250 |
j-invariant |
L |
6.9915821413529 |
L(r)(E,1)/r! |
Ω |
0.55044082891102 |
Real period |
R |
0.12701786957166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970k1 |
Quadratic twists by: -4 |