Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
104430x |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
835200 |
Modular degree for the optimal curve |
Δ |
-12094846216220340 = -1 · 22 · 35 · 5 · 597 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 -3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,57364,-175164] |
[a1,a2,a3,a4,a6] |
j |
494913671/286740 |
j-invariant |
L |
4.7702305610395 |
L(r)(E,1)/r! |
Ω |
0.23851154713492 |
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 |
1770b1 |
Quadratic twists by: -59 |