Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1638h |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-2184821261191296 = -1 · 27 · 313 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -5 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6426,2238516] |
[a1,a2,a3,a4,a6] |
Generators |
[315:5796:1] |
Generators of the group modulo torsion |
j |
40251338884511/2997011332224 |
j-invariant |
L |
2.2655932961979 |
L(r)(E,1)/r! |
Ω |
0.35341951867817 |
Real period |
R |
0.22894617307899 |
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 |
13104bq1 52416cz1 546f1 40950ea1 |
Quadratic twists by: -4 8 -3 5 |