Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040cb |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
20321280 |
Modular degree for the optimal curve |
Δ |
-2.6543526269645E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 3 13- 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1456853080,-21402385667600] |
[a1,a2,a3,a4,a6] |
Generators |
[48810:4875650:1] |
Generators of the group modulo torsion |
j |
-83485496408692606522088834521/64803530931750000000 |
j-invariant |
L |
6.6312466953507 |
L(r)(E,1)/r! |
Ω |
0.01221843547404 |
Real period |
R |
4.307338868267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630o1 |
Quadratic twists by: -4 |