Atkin-Lehner |
2+ 3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310p |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-52487962864740 = -1 · 22 · 310 · 5 · 13 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9360,-7020] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-597:1] [21:435:1] |
Generators of the group modulo torsion |
j |
124393483618559/71999949060 |
j-invariant |
L |
5.8702316567578 |
L(r)(E,1)/r! |
Ω |
0.37632677296941 |
Real period |
R |
1.9498452137893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bg4 |
Quadratic twists by: -3 |