Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114840bi |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
83607552 |
Modular degree for the optimal curve |
Δ |
1.00525081025E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4248144102,-106562028809779] |
[a1,a2,a3,a4,a6] |
Generators |
[2723061451082:-2188193083656075:4173281] |
Generators of the group modulo torsion |
j |
726898749025557813724800845824/86184054376712595703125 |
j-invariant |
L |
8.7007253573855 |
L(r)(E,1)/r! |
Ω |
0.018700483458914 |
Real period |
R |
12.924094459104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280b1 |
Quadratic twists by: -3 |