Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722fa |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-75178933411428 = -1 · 22 · 39 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1429,416287] |
[a1,a2,a3,a4,a6] |
j |
189/44 |
j-invariant |
L |
3.7910268026051 |
L(r)(E,1)/r! |
Ω |
0.4738783311876 |
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 |
106722x1 106722eg1 9702k1 |
Quadratic twists by: -3 -7 -11 |