Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820u |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3.2884425601634E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2341915,2390187303] |
[a1,a2,a3,a4,a6] |
Generators |
[898:72237:1] |
Generators of the group modulo torsion |
j |
3132137615458304/7250937873795 |
j-invariant |
L |
8.3615721527135 |
L(r)(E,1)/r! |
Ω |
0.098435419716125 |
Real period |
R |
4.7191527968375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4620n2 |
Quadratic twists by: -11 |