Atkin-Lehner |
2+ 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744f |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
481280 |
Modular degree for the optimal curve |
Δ |
163440073728 = 210 · 311 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 -2 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113259,-14670902] |
[a1,a2,a3,a4,a6] |
Generators |
[-24305:162:125] |
Generators of the group modulo torsion |
j |
215235743827108/218943 |
j-invariant |
L |
5.4791641904203 |
L(r)(E,1)/r! |
Ω |
0.26024440446818 |
Real period |
R |
2.6317397197582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998206852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64872j1 43248g1 |
Quadratic twists by: -4 -3 |