Atkin-Lehner |
3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6195j |
Isogeny class |
Conductor |
6195 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
11200 |
Modular degree for the optimal curve |
Δ |
2689307578125 = 35 · 57 · 74 · 59 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 1 -3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17185,857806] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1312:1] |
Generators of the group modulo torsion |
j |
561303296768475136/2689307578125 |
j-invariant |
L |
4.3335012786155 |
L(r)(E,1)/r! |
Ω |
0.81286756385648 |
Real period |
R |
0.038079487899218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120bv1 18585j1 30975c1 43365a1 |
Quadratic twists by: -4 -3 5 -7 |