Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bs |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-383218691459128118 = -1 · 2 · 118 · 197 |
Discriminant |
Eigenvalues |
2- -3 -2 -1 11- -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248436,-56140323] |
[a1,a2,a3,a4,a6] |
j |
-20346417/4598 |
j-invariant |
L |
0.42260517797104 |
L(r)(E,1)/r! |
Ω |
0.10565129677151 |
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 |
7942k1 4598h1 |
Quadratic twists by: -11 -19 |