Atkin-Lehner |
2- 3- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
93936i |
Isogeny class |
Conductor |
93936 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
159360 |
Modular degree for the optimal curve |
Δ |
-601887780864 = -1 · 212 · 36 · 19 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -1 1 1 -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13701,-622989] |
[a1,a2,a3,a4,a6] |
j |
-69446803492864/146945259 |
j-invariant |
L |
2.6473114133503 |
L(r)(E,1)/r! |
Ω |
0.22060928557729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5871c1 |
Quadratic twists by: -4 |