Atkin-Lehner |
2- 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630bb |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17210450250000 = 24 · 32 · 56 · 7 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-159856,-24612880] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:130:1] |
Generators of the group modulo torsion |
j |
451763050005377203969/17210450250000 |
j-invariant |
L |
8.9831668065235 |
L(r)(E,1)/r! |
Ω |
0.2387636986421 |
Real period |
R |
3.1353059034284 |
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 |
64890bm3 108150a3 |
Quadratic twists by: -3 5 |