Atkin-Lehner |
2+ 3+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330d |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
-3.1049757557069E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4166139,-3282940827] |
[a1,a2,a3,a4,a6] |
j |
-296183781652400955943083/1149991020632192000 |
j-invariant |
L |
0.63389369929421 |
L(r)(E,1)/r! |
Ω |
0.052824474939184 |
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 |
39330bg1 |
Quadratic twists by: -3 |