Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665x |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
406572098843649375 = 311 · 54 · 710 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7441223,7814741456] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:97351:1] |
Generators of the group modulo torsion |
j |
531301262949272089/4740474375 |
j-invariant |
L |
2.9651655892089 |
L(r)(E,1)/r! |
Ω |
0.26964620278656 |
Real period |
R |
1.3745630193224 |
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 |
9555u3 4095l3 |
Quadratic twists by: -3 -7 |