Atkin-Lehner |
2+ 3- 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28014k |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
624145245096039912 = 23 · 32 · 74 · 236 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9352956,-11010310670] |
[a1,a2,a3,a4,a6] |
Generators |
[37038020:1677214891:8000] |
Generators of the group modulo torsion |
j |
90483693329825091481389625/624145245096039912 |
j-invariant |
L |
5.0951427621716 |
L(r)(E,1)/r! |
Ω |
0.086330154306473 |
Real period |
R |
14.754817720132 |
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 |
84042bv4 |
Quadratic twists by: -3 |