Atkin-Lehner |
2+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88768g |
Isogeny class |
Conductor |
88768 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-32045248 = -1 · 26 · 193 · 73 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 0 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41,267] |
[a1,a2,a3,a4,a6] |
Generators |
[2:19:1] [154:1919:1] |
Generators of the group modulo torsion |
j |
116214272/500707 |
j-invariant |
L |
5.893993622907 |
L(r)(E,1)/r! |
Ω |
1.4876923941928 |
Real period |
R |
1.3206120758755 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88768b1 44384a1 |
Quadratic twists by: -4 8 |