Atkin-Lehner |
2+ 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494w |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
258942287020032 = 216 · 310 · 7 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19458,706324] |
[a1,a2,a3,a4,a6] |
j |
1117643600358433/355202039808 |
j-invariant |
L |
2.0434460074887 |
L(r)(E,1)/r! |
Ω |
0.51086132546262 |
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 |
36498be1 |
Quadratic twists by: -3 |