Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5208i |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-2.8592251655689E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 3 -1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-499280,-290736372] |
[a1,a2,a3,a4,a6] |
Generators |
[850993425561553:5874943882907414:918613512361] |
Generators of the group modulo torsion |
j |
-6720895431401588642/13961060378754237 |
j-invariant |
L |
3.4981096205908 |
L(r)(E,1)/r! |
Ω |
0.084258422661254 |
Real period |
R |
20.758219238535 |
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 |
10416j1 41664bp1 15624i1 36456y1 |
Quadratic twists by: -4 8 -3 -7 |