Atkin-Lehner |
2- 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730be |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
1302912 |
Modular degree for the optimal curve |
Δ |
-26259566949826560 = -1 · 229 · 39 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 3 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1687502,-843365411] |
[a1,a2,a3,a4,a6] |
j |
-27000081000081000027/1334124216320 |
j-invariant |
L |
3.841361780996 |
L(r)(E,1)/r! |
Ω |
0.066230375532892 |
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 |
44730e1 |
Quadratic twists by: -3 |