Atkin-Lehner |
2+ 3+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590d |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2908826173440 = -1 · 216 · 39 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2229,-90955] |
[a1,a2,a3,a4,a6] |
Generators |
[13970:120887:125] |
Generators of the group modulo torsion |
j |
-62240377347/147783680 |
j-invariant |
L |
4.8924458134834 |
L(r)(E,1)/r! |
Ω |
0.32426115247841 |
Real period |
R |
3.7719950232155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40590z1 |
Quadratic twists by: -3 |