Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414cs |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-231054695424 = -1 · 210 · 38 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4874,-131767] |
[a1,a2,a3,a4,a6] |
j |
-3574558889/64512 |
j-invariant |
L |
5.707818308266 |
L(r)(E,1)/r! |
Ω |
0.28539091541445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138l1 36414ci1 |
Quadratic twists by: -3 17 |