Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722l |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-99826073446176 = -1 · 25 · 33 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11+ -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5241,-459299] |
[a1,a2,a3,a4,a6] |
j |
5103/32 |
j-invariant |
L |
1.1959833536034 |
L(r)(E,1)/r! |
Ω |
0.29899573047454 |
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 |
106722el1 106722b1 106722ek1 |
Quadratic twists by: -3 -7 -11 |