Atkin-Lehner |
3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21801f |
Isogeny class |
Conductor |
21801 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4848 |
Modular degree for the optimal curve |
Δ |
-65403 = -1 · 32 · 132 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 0 -2 4 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-108,470] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1:1] |
Generators of the group modulo torsion |
j |
-832000000/387 |
j-invariant |
L |
2.3400940049951 |
L(r)(E,1)/r! |
Ω |
3.4340943572681 |
Real period |
R |
0.34071486708605 |
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 |
65403j1 21801e1 |
Quadratic twists by: -3 13 |