Atkin-Lehner |
2- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
43550q |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-489878272000000000 = -1 · 217 · 59 · 134 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -3 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1113505,-453231503] |
[a1,a2,a3,a4,a6] |
Generators |
[4279:268260:1] |
Generators of the group modulo torsion |
j |
-9771918471960616089/31352209408000 |
j-invariant |
L |
7.3245164274595 |
L(r)(E,1)/r! |
Ω |
0.07347051980538 |
Real period |
R |
1.4660775119021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710d1 |
Quadratic twists by: 5 |