Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100ci |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
8368760531250000 = 24 · 38 · 59 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61500,-3884375] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:1323:1] |
Generators of the group modulo torsion |
j |
1129201664/367353 |
j-invariant |
L |
5.4188295051926 |
L(r)(E,1)/r! |
Ω |
0.31101810638523 |
Real period |
R |
1.451906228583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35700bo1 107100cl1 |
Quadratic twists by: -3 5 |