Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722fe |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-18750201624 = -1 · 23 · 33 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11276,463719] |
[a1,a2,a3,a4,a6] |
j |
-67645179/8 |
j-invariant |
L |
7.0567472996036 |
L(r)(E,1)/r! |
Ω |
1.1761245804232 |
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 |
106722bf2 106722ej1 882b1 |
Quadratic twists by: -3 -7 -11 |