Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bj |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
-6.3193727118984E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2725347,-1773465374] |
[a1,a2,a3,a4,a6] |
Generators |
[2494193828348156275:253176678216726011766:235811402242541] |
Generators of the group modulo torsion |
j |
-749724414259642849/21163451351040 |
j-invariant |
L |
6.9501696912082 |
L(r)(E,1)/r! |
Ω |
0.058653150514678 |
Real period |
R |
29.624025436916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570l1 17520s1 |
Quadratic twists by: -4 -3 |