Atkin-Lehner |
2+ 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16302h |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
624 |
Product of Tamagawa factors cp |
deg |
12879360 |
Modular degree for the optimal curve |
Δ |
-1.8753420506794E+27 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11+ 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-760029366,-8329654549640] |
[a1,a2,a3,a4,a6] |
j |
-48552861436303168700935121553625/1875342050679445151216809968 |
j-invariant |
L |
2.2377101625757 |
L(r)(E,1)/r! |
Ω |
0.014344295913947 |
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 |
48906bu1 |
Quadratic twists by: -3 |