Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722j |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6220800 |
Modular degree for the optimal curve |
Δ |
-78263641581801984 = -1 · 29 · 33 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39924033,-97085659203] |
[a1,a2,a3,a4,a6] |
j |
-61279455929796531/681472 |
j-invariant |
L |
3.0030387422454 |
L(r)(E,1)/r! |
Ω |
0.030030388920695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722ei2 106722be1 9702bc1 |
Quadratic twists by: -3 -7 -11 |