Atkin-Lehner |
2+ 3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210k |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
596879985664327680 = 220 · 313 · 5 · 7 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1128052,459179344] |
[a1,a2,a3,a4,a6] |
Generators |
[872408376:30774120292:493039] |
Generators of the group modulo torsion |
j |
158749246734929382578761/596879985664327680 |
j-invariant |
L |
3.6935904358804 |
L(r)(E,1)/r! |
Ω |
0.2912322425386 |
Real period |
R |
12.682628831493 |
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 |
63630bk1 106050bt1 |
Quadratic twists by: -3 5 |