Atkin-Lehner |
31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52111a |
Isogeny class |
Conductor |
52111 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.0234409143345E+20 |
Discriminant |
Eigenvalues |
1 2 2 2 2 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1747434,300310295] |
[a1,a2,a3,a4,a6] |
Generators |
[-43300016026746990490330360272929176182345738244665964050:-344249196774032655756081016298465965342780412738156295473:31655498981601785999968893122730776053276787440125000] |
Generators of the group modulo torsion |
j |
1802485313/923521 |
j-invariant |
L |
12.900179963627 |
L(r)(E,1)/r! |
Ω |
0.15218198112377 |
Real period |
R |
84.768116884582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52111b2 |
Quadratic twists by: 41 |