Atkin-Lehner |
5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175d |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-1.8963587063371E+22 |
Discriminant |
Eigenvalues |
1 3 5+ 7+ 11+ 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6603008,-1118312959] |
[a1,a2,a3,a4,a6] |
Generators |
[1167863464854083931712031225785082744364202607664:95717665126990286965782006247096739942841343642297:205946491055175250626782155628215189447819983] |
Generators of the group modulo torsion |
j |
1382658525/823543 |
j-invariant |
L |
10.463016215528 |
L(r)(E,1)/r! |
Ω |
0.071371909141663 |
Real period |
R |
73.29925976031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21175bg1 21175o1 |
Quadratic twists by: 5 -11 |