Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680q |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
76077979971840000 = 211 · 38 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-194056,-30173200] |
[a1,a2,a3,a4,a6] |
Generators |
[587:7650:1] |
Generators of the group modulo torsion |
j |
3354200221682/315748125 |
j-invariant |
L |
6.3569122889022 |
L(r)(E,1)/r! |
Ω |
0.22883970318182 |
Real period |
R |
3.4723608930271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ba3 9240d4 |
Quadratic twists by: -4 -7 |