Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722fb |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
16558080 |
Modular degree for the optimal curve |
Δ |
-8.9054285794573E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84969611,301832569371] |
[a1,a2,a3,a4,a6] |
j |
-35148950502093/46137344 |
j-invariant |
L |
4.7161104316242 |
L(r)(E,1)/r! |
Ω |
0.10718431766909 |
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 |
106722y1 106722ev1 9702g1 |
Quadratic twists by: -3 -7 -11 |