Atkin-Lehner |
2+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46930d |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
-717555538482250 = -1 · 2 · 53 · 132 · 198 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -3 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,21292,-471838] |
[a1,a2,a3,a4,a6] |
Generators |
[8491:87268:343] |
Generators of the group modulo torsion |
j |
62851031/42250 |
j-invariant |
L |
6.4220102336718 |
L(r)(E,1)/r! |
Ω |
0.28836620426575 |
Real period |
R |
3.7117214954831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46930be1 |
Quadratic twists by: -19 |