Atkin-Lehner |
3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99705r |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
382720 |
Modular degree for the optimal curve |
Δ |
-15613989946875 = -1 · 32 · 55 · 176 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-211355,-37470619] |
[a1,a2,a3,a4,a6] |
Generators |
[835:19207:1] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
5.7523594120832 |
L(r)(E,1)/r! |
Ω |
0.11133093758475 |
Real period |
R |
5.1669010907799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999715616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
345a1 |
Quadratic twists by: 17 |