Atkin-Lehner |
2+ 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
52360a |
Isogeny class |
Conductor |
52360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
1675520 = 28 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2183,39258] |
[a1,a2,a3,a4,a6] |
Generators |
[921:1808:27] |
Generators of the group modulo torsion |
j |
4494122994384/6545 |
j-invariant |
L |
4.7504269630657 |
L(r)(E,1)/r! |
Ω |
2.2618500099613 |
Real period |
R |
4.2004792025475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104720c1 |
Quadratic twists by: -4 |