Atkin-Lehner |
2- 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336bn |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-20286573817289472 = -1 · 28 · 311 · 72 · 113 · 193 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-833628,-293038940] |
[a1,a2,a3,a4,a6] |
j |
-343299442778838016/108702920403 |
j-invariant |
L |
3.7919231224394 |
L(r)(E,1)/r! |
Ω |
0.07899838927238 |
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 |
35112h1 |
Quadratic twists by: -3 |