Atkin-Lehner |
2- 7+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
120274j |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
74400 |
Modular degree for the optimal curve |
Δ |
-4620445984 = -1 · 25 · 75 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-166,3413] |
[a1,a2,a3,a4,a6] |
j |
-4157263737/38185504 |
j-invariant |
L |
5.8731470445449 |
L(r)(E,1)/r! |
Ω |
1.1746291602431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120274g1 |
Quadratic twists by: -11 |