Atkin-Lehner |
5- 7+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20405b |
Isogeny class |
Conductor |
20405 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-82156141375 = -1 · 53 · 7 · 116 · 53 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,523,-12784] |
[a1,a2,a3,a4,a6] |
j |
15773593568039/82156141375 |
j-invariant |
L |
3.2606087029728 |
L(r)(E,1)/r! |
Ω |
0.5434347838288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102025e1 |
Quadratic twists by: 5 |