Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490cn |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
975744 |
Modular degree for the optimal curve |
Δ |
-4998094561658880 = -1 · 211 · 32 · 5 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13005,-3352095] |
[a1,a2,a3,a4,a6] |
Generators |
[252:-4119:1] |
Generators of the group modulo torsion |
j |
103161709/2119680 |
j-invariant |
L |
10.224783154059 |
L(r)(E,1)/r! |
Ω |
0.20981542144251 |
Real period |
R |
1.1075517418815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490ba1 |
Quadratic twists by: -11 |