Atkin-Lehner |
2+ 5+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550c |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-3.144676565888E+19 |
Discriminant |
Eigenvalues |
2+ 3 5+ 1 11+ 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,664583,171029741] |
[a1,a2,a3,a4,a6] |
Generators |
[-1323102:435648751:35937] |
Generators of the group modulo torsion |
j |
2077547691475827999/2012593002168320 |
j-invariant |
L |
10.323891169942 |
L(r)(E,1)/r! |
Ω |
0.13688259411584 |
Real period |
R |
9.4276880286089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24310bb1 |
Quadratic twists by: 5 |