Atkin-Lehner |
2+ 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570u |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
680400 |
Modular degree for the optimal curve |
Δ |
-351752592057300000 = -1 · 25 · 39 · 55 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-313724,73381466] |
[a1,a2,a3,a4,a6] |
j |
-592353055527289/61017300000 |
j-invariant |
L |
2.6581042176416 |
L(r)(E,1)/r! |
Ω |
0.29534491308824 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570q1 |
Quadratic twists by: -7 |