Atkin-Lehner |
2- 5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760bo |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
2707250000 = 24 · 56 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-365,1100] |
[a1,a2,a3,a4,a6] |
j |
337032380416/169203125 |
j-invariant |
L |
3.8157220124322 |
L(r)(E,1)/r! |
Ω |
1.271907605515 |
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 |
30940g1 |
Quadratic twists by: -4 |