Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55062bl |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
716800 |
Modular degree for the optimal curve |
Δ |
-1142289570265716096 = -1 · 27 · 311 · 75 · 194 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,150043,46263197] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-8450:1] |
Generators of the group modulo torsion |
j |
512443648078726391/1566926708183424 |
j-invariant |
L |
11.36522977657 |
L(r)(E,1)/r! |
Ω |
0.19368709146392 |
Real period |
R |
0.20956536668457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354m1 |
Quadratic twists by: -3 |