Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848bc |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1939014578221056 = -1 · 212 · 312 · 75 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51672,4992752] |
[a1,a2,a3,a4,a6] |
j |
-5109778215424/649372059 |
j-invariant |
L |
3.6263749689581 |
L(r)(E,1)/r! |
Ω |
0.45329691176238 |
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 |
106848bh1 35616a1 |
Quadratic twists by: -4 -3 |