Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ed |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-9.9390943967157E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- -2 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3914252,-3018088433] |
[a1,a2,a3,a4,a6] |
Generators |
[5525:-382219:1] |
Generators of the group modulo torsion |
j |
-24052806603/360448 |
j-invariant |
L |
12.077647414567 |
L(r)(E,1)/r! |
Ω |
0.053619224955265 |
Real period |
R |
0.62569014342785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722e1 106722er1 9702b1 |
Quadratic twists by: -3 -7 -11 |