Atkin-Lehner |
2- 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838cb |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
242 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
46913650108416 = 211 · 311 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61601,5870409] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:2923:1] [130:187:1] |
Generators of the group modulo torsion |
j |
75369098343053143/136774490112 |
j-invariant |
L |
18.576748859839 |
L(r)(E,1)/r! |
Ω |
0.6375923753982 |
Real period |
R |
0.12039577012482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838bu1 |
Quadratic twists by: -7 |