Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730cb |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-115940160 = -1 · 26 · 36 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47,-521] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-82:1] |
Generators of the group modulo torsion |
j |
-15438249/159040 |
j-invariant |
L |
10.094487388924 |
L(r)(E,1)/r! |
Ω |
0.7933588503313 |
Real period |
R |
1.0603112098118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970b1 |
Quadratic twists by: -3 |