Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352d |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-14158603008 = -1 · 28 · 37 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-689,-8787] |
[a1,a2,a3,a4,a6] |
j |
-106314752/41553 |
j-invariant |
L |
0.91405098147594 |
L(r)(E,1)/r! |
Ω |
0.45702574889337 |
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 |
55176d1 110352b1 |
Quadratic twists by: -4 -11 |