Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bj |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-21104003250 = -1 · 2 · 37 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2147,-38379] |
[a1,a2,a3,a4,a6] |
j |
-1500730351849/28949250 |
j-invariant |
L |
4.2035088919342 |
L(r)(E,1)/r! |
Ω |
0.3502924076612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570a1 |
Quadratic twists by: -3 |