Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290a |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.0142252394633E+27 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-271947658520,54585417930555200] |
[a1,a2,a3,a4,a6] |
Generators |
[6374820990064351069437663809582336000536353436097557787267610746204553432970128357163609457692346774192680:9758686247867855281765761674441903917962881451605227317142136645015371924182310389154731785914527272946540535:2605206507040924677622225398526125739298413175950333809705689676962759411502067107582385109456382464] |
Generators of the group modulo torsion |
j |
37781042964604335770193/51200000000 |
j-invariant |
L |
4.7162647553468 |
L(r)(E,1)/r! |
Ω |
0.028753566934387 |
Real period |
R |
164.02364152277 |
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 |
53290m2 |
Quadratic twists by: 73 |