Atkin-Lehner |
2+ 3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310p |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
820075136400 = 24 · 38 · 52 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2340,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:135:1] [-39:195:1] |
Generators of the group modulo torsion |
j |
1944232280641/1124931600 |
j-invariant |
L |
5.8702316567578 |
L(r)(E,1)/r! |
Ω |
0.75265354593883 |
Real period |
R |
1.9498452137893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16770bg2 |
Quadratic twists by: -3 |