Atkin-Lehner |
2- 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630bb |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
87762843794881500 = 22 · 3 · 53 · 72 · 1036 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-167356,-22178380] |
[a1,a2,a3,a4,a6] |
Generators |
[520:5350:1] |
Generators of the group modulo torsion |
j |
518379401394651883969/87762843794881500 |
j-invariant |
L |
8.9831668065235 |
L(r)(E,1)/r! |
Ω |
0.2387636986421 |
Real period |
R |
6.2706118068567 |
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 |
64890bm4 108150a4 |
Quadratic twists by: -3 5 |