Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4758c |
Isogeny class |
Conductor |
4758 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
749213712 = 24 · 310 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-341,2000] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
4366714263625/749213712 |
j-invariant |
L |
2.8929303893226 |
L(r)(E,1)/r! |
Ω |
1.5257634977411 |
Real period |
R |
0.37921085326862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38064r1 14274r1 118950bj1 61854q1 |
Quadratic twists by: -4 -3 5 13 |