Atkin-Lehner |
2+ 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
44968c |
Isogeny class |
Conductor |
44968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11840 |
Modular degree for the optimal curve |
Δ |
89936 = 24 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1874,31225] |
[a1,a2,a3,a4,a6] |
j |
45489638873088/5621 |
j-invariant |
L |
1.3173564961666 |
L(r)(E,1)/r! |
Ω |
2.6347129918521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89936b1 |
Quadratic twists by: -4 |