Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240dm |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
77112000 = 26 · 34 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19836,1068714] |
[a1,a2,a3,a4,a6] |
Generators |
[405:7722:1] |
Generators of the group modulo torsion |
j |
13487390477390656/1204875 |
j-invariant |
L |
7.094188723497 |
L(r)(E,1)/r! |
Ω |
1.4814679662516 |
Real period |
R |
4.7886210542952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240g1 57120p4 |
Quadratic twists by: -4 8 |