Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bv |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-533081250000 = -1 · 24 · 38 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 13+ -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,445,-35053] |
[a1,a2,a3,a4,a6] |
j |
34295/1872 |
j-invariant |
L |
3.5401059915366 |
L(r)(E,1)/r! |
Ω |
0.44251324894207 |
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 |
46800eq1 1950k1 5850o1 76050cn1 |
Quadratic twists by: -4 -3 5 13 |