Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490t |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4669440 |
Modular degree for the optimal curve |
Δ |
2.8906209076948E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7679079,-413058947] |
[a1,a2,a3,a4,a6] |
Generators |
[5102:302729:1] |
Generators of the group modulo torsion |
j |
212883113611/122880000 |
j-invariant |
L |
2.9082586295663 |
L(r)(E,1)/r! |
Ω |
0.098971018398596 |
Real period |
R |
3.6731190057243 |
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 |
10830s1 32490bu1 |
Quadratic twists by: -3 -19 |