Atkin-Lehner |
2- 3+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43758l |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-572661296064 = -1 · 26 · 39 · 112 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1321,-31697] |
[a1,a2,a3,a4,a6] |
j |
12961314549/29094208 |
j-invariant |
L |
5.7251470019455 |
L(r)(E,1)/r! |
Ω |
0.47709558350192 |
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 |
43758a1 |
Quadratic twists by: -3 |