Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ev |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-756948939596365824 = -1 · 222 · 33 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1734074,-879482887] |
[a1,a2,a3,a4,a6] |
j |
-35148950502093/46137344 |
j-invariant |
L |
2.8941507828582 |
L(r)(E,1)/r! |
Ω |
0.065776157051771 |
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 |
106722bd1 106722fb1 9702e1 |
Quadratic twists by: -3 -7 -11 |