Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722he |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-113905642235616 = -1 · 25 · 36 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20516,1247271] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:765:1] |
Generators of the group modulo torsion |
j |
-268279/32 |
j-invariant |
L |
10.116633463389 |
L(r)(E,1)/r! |
Ω |
0.57496340174709 |
Real period |
R |
1.7595265127627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999713013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858n1 106722gs1 106722dl1 |
Quadratic twists by: -3 -7 -11 |