Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5082y |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-257596416 = -1 · 210 · 33 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-74,804] |
[a1,a2,a3,a4,a6] |
Generators |
[4:22:1] |
Generators of the group modulo torsion |
j |
-33698267/193536 |
j-invariant |
L |
5.7161903755199 |
L(r)(E,1)/r! |
Ω |
1.511001814671 |
Real period |
R |
0.25220311098764 |
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 |
40656bp1 15246f1 127050q1 35574bs1 |
Quadratic twists by: -4 -3 5 -7 |