Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542l |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-17304073254 = -1 · 2 · 311 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 3 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,546,4030] |
[a1,a2,a3,a4,a6] |
Generators |
[62:495:1] |
Generators of the group modulo torsion |
j |
62452050119/59875686 |
j-invariant |
L |
4.6875303396527 |
L(r)(E,1)/r! |
Ω |
0.80826530449329 |
Real period |
R |
0.26361339489499 |
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 |
67626bb1 22542f1 |
Quadratic twists by: -3 17 |