Atkin-Lehner |
2- 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21630x |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-356116320 = -1 · 25 · 32 · 5 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,164,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[26:134:1] |
Generators of the group modulo torsion |
j |
487629237311/356116320 |
j-invariant |
L |
8.8137240663016 |
L(r)(E,1)/r! |
Ω |
0.95523910393268 |
Real period |
R |
0.46133601681588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890bd1 108150s1 |
Quadratic twists by: -3 5 |