Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48480p |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
169728 |
Modular degree for the optimal curve |
Δ |
-104345251704000 = -1 · 26 · 317 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6134,-453316] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1458:1] |
Generators of the group modulo torsion |
j |
398753263052864/1630394557875 |
j-invariant |
L |
6.0434500782608 |
L(r)(E,1)/r! |
Ω |
0.30195742755322 |
Real period |
R |
0.5886542786945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48480e1 96960cv1 |
Quadratic twists by: -4 8 |