Atkin-Lehner |
3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6195b |
Isogeny class |
Conductor |
6195 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7792977793125 = 3 · 54 · 73 · 594 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7301,195998] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:653:1] |
Generators of the group modulo torsion |
j |
43040219271568849/7792977793125 |
j-invariant |
L |
2.1107368899346 |
L(r)(E,1)/r! |
Ω |
0.70433071868123 |
Real period |
R |
0.49946633353497 |
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 |
99120cj4 18585n3 30975s4 43365r4 |
Quadratic twists by: -4 -3 5 -7 |