Atkin-Lehner |
3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6195h |
Isogeny class |
Conductor |
6195 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
740147625 = 35 · 53 · 7 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4410,112347] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:453:1] |
Generators of the group modulo torsion |
j |
9485181279534241/740147625 |
j-invariant |
L |
3.1136249000355 |
L(r)(E,1)/r! |
Ω |
1.5260067816298 |
Real period |
R |
0.27204989628422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120cd1 18585f1 30975e1 43365f1 |
Quadratic twists by: -4 -3 5 -7 |