Atkin-Lehner |
2+ 3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010r |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2.1166612496668E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-328151484,2178398860240] |
[a1,a2,a3,a4,a6] |
Generators |
[16011:1006207:1] |
Generators of the group modulo torsion |
j |
5360672829934538103598861249/290351337402848007600000 |
j-invariant |
L |
4.2832582045222 |
L(r)(E,1)/r! |
Ω |
0.055408939663865 |
Real period |
R |
7.7302656042369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670j2 |
Quadratic twists by: -3 |