Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544cm |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-6593175792 = -1 · 24 · 34 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 6 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,418,-2253] |
[a1,a2,a3,a4,a6] |
j |
10277727488/8409663 |
j-invariant |
L |
4.4356199207297 |
L(r)(E,1)/r! |
Ω |
0.73927000234294 |
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 |
27636s1 110544db1 |
Quadratic twists by: -4 -7 |