Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490be |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
54002278800000000 = 210 · 39 · 58 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4180277,3290721229] |
[a1,a2,a3,a4,a6] |
Generators |
[1237:-3994:1] |
Generators of the group modulo torsion |
j |
59839327109608353/400000000 |
j-invariant |
L |
9.3424857554752 |
L(r)(E,1)/r! |
Ω |
0.31631373130557 |
Real period |
R |
0.36919381103511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32490a1 32490e1 |
Quadratic twists by: -3 -19 |