Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5202k |
Isogeny class |
Conductor |
5202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24976373629160754 = 2 · 326 · 173 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-189851,30965721] |
[a1,a2,a3,a4,a6] |
Generators |
[1398:13389:8] |
Generators of the group modulo torsion |
j |
211293405175481/6973568802 |
j-invariant |
L |
5.2389271430031 |
L(r)(E,1)/r! |
Ω |
0.37546583559776 |
Real period |
R |
6.9765696986285 |
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 |
41616cj4 1734c4 5202j4 |
Quadratic twists by: -4 -3 17 |