Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3630x |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-348086133014647500 = -1 · 22 · 310 · 54 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-140060,-34836900] |
[a1,a2,a3,a4,a6] |
j |
-128864147651/147622500 |
j-invariant |
L |
4.7257454930995 |
L(r)(E,1)/r! |
Ω |
0.11814363732749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29040cl2 116160a2 10890j2 18150c2 |
Quadratic twists by: -4 8 -3 5 |