Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10824j |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-7424324303616 = -1 · 28 · 312 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11- -6 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49772,4259376] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:1188:1] [346:-5346:1] |
Generators of the group modulo torsion |
j |
-53265713623008208/29001266811 |
j-invariant |
L |
5.6825178735179 |
L(r)(E,1)/r! |
Ω |
0.7337367437848 |
Real period |
R |
0.053782136456266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21648a1 86592c1 32472g1 119064l1 |
Quadratic twists by: -4 8 -3 -11 |