Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304hu |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
690669278208 = 210 · 32 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41421,-3258333] |
[a1,a2,a3,a4,a6] |
j |
65239066624/5733 |
j-invariant |
L |
6.0237706306627 |
L(r)(E,1)/r! |
Ω |
0.33465385028044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304bo1 30576r1 17472ca1 |
Quadratic twists by: -4 8 -7 |