Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bp |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
2836479275906762304 = 26 · 38 · 72 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1545054,-735263424] |
[a1,a2,a3,a4,a6] |
Generators |
[-5382:3021:8] |
Generators of the group modulo torsion |
j |
1320428512222912/9182047329 |
j-invariant |
L |
7.0519457090941 |
L(r)(E,1)/r! |
Ω |
0.1354707762525 |
Real period |
R |
6.5068883056736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113568c1 8736v1 |
Quadratic twists by: -4 13 |