Atkin-Lehner |
2+ 3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210l |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2227050000 = 24 · 32 · 55 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6547,201181] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-296:1] |
Generators of the group modulo torsion |
j |
31042334831450041/2227050000 |
j-invariant |
L |
3.702604235607 |
L(r)(E,1)/r! |
Ω |
1.3895420730749 |
Real period |
R |
0.26646218976397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bm1 106050bu1 |
Quadratic twists by: -3 5 |