Atkin-Lehner |
2- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774n |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
2239488 |
Modular degree for the optimal curve |
Δ |
-2277865783776247808 = -1 · 227 · 114 · 132 · 193 |
Discriminant |
Eigenvalues |
2- -1 -4 -5 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,296750,37559391] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:2483:1] [1689:72371:1] |
Generators of the group modulo torsion |
j |
197389961758721039/155581297983488 |
j-invariant |
L |
8.0679180470122 |
L(r)(E,1)/r! |
Ω |
0.16674735366208 |
Real period |
R |
0.099555729390201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59774g1 |
Quadratic twists by: -11 |