Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18590d |
Isogeny class |
Conductor |
18590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-2.7794882295066E+19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 11+ 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-516580,291269200] |
[a1,a2,a3,a4,a6] |
Generators |
[-2546:165879:8] |
Generators of the group modulo torsion |
j |
-3158470573163361/5758438400000 |
j-invariant |
L |
2.2086834642898 |
L(r)(E,1)/r! |
Ω |
0.18797951552581 |
Real period |
R |
5.8747982675447 |
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 |
92950bx1 1430k1 |
Quadratic twists by: 5 13 |