Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722hi |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-2450486950488960768 = -1 · 28 · 38 · 77 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-214556,-84419233] |
[a1,a2,a3,a4,a6] |
Generators |
[1389:47221:1] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
8.7909818972699 |
L(r)(E,1)/r! |
Ω |
0.10375811190506 |
Real period |
R |
2.6476790995346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574bg1 15246bs1 882e1 |
Quadratic twists by: -3 -7 -11 |