Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490c |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1711551853240335360 = -1 · 210 · 39 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,262560,35717120] |
[a1,a2,a3,a4,a6] |
j |
2161700757/1848320 |
j-invariant |
L |
0.68934466719838 |
L(r)(E,1)/r! |
Ω |
0.17233616679761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32490bg1 1710l1 |
Quadratic twists by: -3 -19 |