Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896o |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-20719152 = -1 · 24 · 35 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 4 -3 6 -6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49,-192] |
[a1,a2,a3,a4,a6] |
j |
149504/243 |
j-invariant |
L |
2.2736166915343 |
L(r)(E,1)/r! |
Ω |
1.1368078655136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127896r1 |
Quadratic twists by: 73 |