Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bh |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-38131291282042728 = -1 · 23 · 33 · 77 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11- 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-134514,-21152356] |
[a1,a2,a3,a4,a6] |
Generators |
[1651:64405:1] |
Generators of the group modulo torsion |
j |
-395307/56 |
j-invariant |
L |
3.4543461698125 |
L(r)(E,1)/r! |
Ω |
0.12367406182017 |
Real period |
R |
6.9827620068024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722ff1 15246b1 106722fg1 |
Quadratic twists by: -3 -7 -11 |