Atkin-Lehner |
2- 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124r |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
77089020624 = 24 · 39 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68556,6909005] |
[a1,a2,a3,a4,a6] |
j |
3055009826357248/6609141 |
j-invariant |
L |
1.8737685925108 |
L(r)(E,1)/r! |
Ω |
0.93688429640516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708d1 |
Quadratic twists by: -3 |