Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722g |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-8032324608 = -1 · 210 · 33 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-303,-4691] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-1:1] [30:97:1] |
Generators of the group modulo torsion |
j |
-392931/1024 |
j-invariant |
L |
7.5067635028821 |
L(r)(E,1)/r! |
Ω |
0.5319402586492 |
Real period |
R |
1.1760035363256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722ee1 106722u1 106722eh1 |
Quadratic twists by: -3 -7 -11 |