Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474bd |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-5829500731392 = -1 · 217 · 36 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 5 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-780,-116272] |
[a1,a2,a3,a4,a6] |
j |
-199565721/22151168 |
j-invariant |
L |
2.687960921106 |
L(r)(E,1)/r! |
Ω |
0.33599512458239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386n1 84474bv1 |
Quadratic twists by: -3 -19 |