Atkin-Lehner |
2- 3- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
70452i |
Isogeny class |
Conductor |
70452 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-15176118299904 = -1 · 28 · 313 · 192 · 103 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 4 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6231,-266402] |
[a1,a2,a3,a4,a6] |
j |
-143360488528/81319221 |
j-invariant |
L |
4.1889099806107 |
L(r)(E,1)/r! |
Ω |
0.26180687292076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23484d1 |
Quadratic twists by: -3 |