Atkin-Lehner |
2- 5- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150bb |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
366598437500 = 22 · 58 · 23 · 1012 |
Discriminant |
Eigenvalues |
2- -2 5- -3 1 -5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5263,-144483] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:75:1] [-322:565:8] |
Generators of the group modulo torsion |
j |
41273276305/938492 |
j-invariant |
L |
11.460476929748 |
L(r)(E,1)/r! |
Ω |
0.56129608382006 |
Real period |
R |
5.1044703773545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150e1 |
Quadratic twists by: 5 |