Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26520z |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-260585520 = -1 · 24 · 3 · 5 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31,-790] |
[a1,a2,a3,a4,a6] |
j |
-212629504/16286595 |
j-invariant |
L |
3.0822685681544 |
L(r)(E,1)/r! |
Ω |
0.77056714203863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53040e1 79560bb1 |
Quadratic twists by: -4 -3 |