Atkin-Lehner |
2+ 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
4758a |
Isogeny class |
Conductor |
4758 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
816 |
Modular degree for the optimal curve |
Δ |
-556686 = -1 · 2 · 33 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 -4 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11,-29] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
127263527/556686 |
j-invariant |
L |
1.5186463881797 |
L(r)(E,1)/r! |
Ω |
1.4735138871528 |
Real period |
R |
0.51531458285544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38064ba1 14274p1 118950bs1 61854m1 |
Quadratic twists by: -4 -3 5 13 |