Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184cr |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-246951936 = -1 · 212 · 33 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ -1 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,756] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:24:1] |
Generators of the group modulo torsion |
j |
-1/60291 |
j-invariant |
L |
9.9498234868925 |
L(r)(E,1)/r! |
Ω |
1.3942598145771 |
Real period |
R |
0.59468970724174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999552704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6699c1 |
Quadratic twists by: -4 |