Atkin-Lehner |
3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6195f |
Isogeny class |
Conductor |
6195 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
1084125 = 3 · 53 · 72 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 1 -1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26,5] |
[a1,a2,a3,a4,a6] |
j |
2019487744/1084125 |
j-invariant |
L |
4.8228268290086 |
L(r)(E,1)/r! |
Ω |
2.4114134145043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120bs1 18585l1 30975g1 43365j1 |
Quadratic twists by: -4 -3 5 -7 |