Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cf |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2595840 |
Modular degree for the optimal curve |
Δ |
2390270263603200000 = 215 · 313 · 55 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- -1 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1440545,-660834975] |
[a1,a2,a3,a4,a6] |
Generators |
[-735:600:1] |
Generators of the group modulo torsion |
j |
689102501118152/4982259375 |
j-invariant |
L |
7.1316281434732 |
L(r)(E,1)/r! |
Ω |
0.13786597266774 |
Real period |
R |
2.5864352222808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160eq1 58080r1 116160cg1 |
Quadratic twists by: -4 8 -11 |