Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330j |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-2033763518982780 = -1 · 22 · 38 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-118303,15762193] |
[a1,a2,a3,a4,a6] |
j |
-37936442980801/421347420 |
j-invariant |
L |
1.869662913992 |
L(r)(E,1)/r! |
Ω |
0.4674157240748 |
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 |
7410o1 |
Quadratic twists by: 13 |