Atkin-Lehner |
2- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115444b |
Isogeny class |
Conductor |
115444 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54144 |
Modular degree for the optimal curve |
Δ |
-11223003904 = -1 · 28 · 74 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 0 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,-5263] |
[a1,a2,a3,a4,a6] |
Generators |
[912:4123:27] |
Generators of the group modulo torsion |
j |
-3211264/18259 |
j-invariant |
L |
9.6292584022592 |
L(r)(E,1)/r! |
Ω |
0.53255881228956 |
Real period |
R |
3.0135195651919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115444j1 |
Quadratic twists by: -7 |