Atkin-Lehner |
2- 3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21630l |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
3179610000 = 24 · 32 · 54 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-636,-5811] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:29:1] |
Generators of the group modulo torsion |
j |
28453633725889/3179610000 |
j-invariant |
L |
6.3897013816362 |
L(r)(E,1)/r! |
Ω |
0.95757913478023 |
Real period |
R |
0.55606382365313 |
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 |
64890bl1 108150bg1 |
Quadratic twists by: -3 5 |