Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490l |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-7506806373861120 = -1 · 28 · 38 · 5 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,40545,-2749235] |
[a1,a2,a3,a4,a6] |
Generators |
[838:12577:8] |
Generators of the group modulo torsion |
j |
214921799/218880 |
j-invariant |
L |
3.92654438579 |
L(r)(E,1)/r! |
Ω |
0.22676871792976 |
Real period |
R |
2.1643992729888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830y1 1710n1 |
Quadratic twists by: -3 -19 |