Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890j |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-302079375000 = -1 · 23 · 37 · 57 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -5 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12690,-547700] |
[a1,a2,a3,a4,a6] |
Generators |
[263:3644:1] |
Generators of the group modulo torsion |
j |
-310027558782241/414375000 |
j-invariant |
L |
2.111167229084 |
L(r)(E,1)/r! |
Ω |
0.22488876044791 |
Real period |
R |
4.6938033383244 |
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 |
6630u1 99450cu1 |
Quadratic twists by: -3 5 |