Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314v |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8596010801664 = -1 · 29 · 36 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-500418,-136128492] |
[a1,a2,a3,a4,a6] |
Generators |
[3630073202614431538:-29788498990830704035:4300687570265848] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
5.1576236215795 |
L(r)(E,1)/r! |
Ω |
0.08975037491984 |
Real period |
R |
28.733159199536 |
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 |
3146l3 234e3 |
Quadratic twists by: -3 -11 |