Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850bp |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-44215891200 = -1 · 28 · 312 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7430,-244843] |
[a1,a2,a3,a4,a6] |
j |
-2488672890625/2426112 |
j-invariant |
L |
4.1135948717713 |
L(r)(E,1)/r! |
Ω |
0.25709967948571 |
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 |
46800dv1 1950h1 5850t1 76050bg1 |
Quadratic twists by: -4 -3 5 13 |