Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850g |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-216217755000 = -1 · 23 · 39 · 54 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-717,23741] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:184:1] |
Generators of the group modulo torsion |
j |
-3316275/17576 |
j-invariant |
L |
2.9436323040211 |
L(r)(E,1)/r! |
Ω |
0.86396420501859 |
Real period |
R |
0.56785383138988 |
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 |
46800cr2 5850bi1 5850bc2 76050dx2 |
Quadratic twists by: -4 -3 5 13 |