Atkin-Lehner |
2- 3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630bh |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1622250000 = 24 · 32 · 56 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-515,4017] |
[a1,a2,a3,a4,a6] |
Generators |
[4:43:1] |
Generators of the group modulo torsion |
j |
15107691357361/1622250000 |
j-invariant |
L |
10.151376777885 |
L(r)(E,1)/r! |
Ω |
1.4540317277076 |
Real period |
R |
0.58179477703519 |
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 |
64890o1 108150m1 |
Quadratic twists by: -3 5 |