Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45288k |
Isogeny class |
Conductor |
45288 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-1221289104384 = -1 · 210 · 38 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 3 1 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45723,-3763514] |
[a1,a2,a3,a4,a6] |
Generators |
[371:5508:1] |
Generators of the group modulo torsion |
j |
-14161210570084/1636029 |
j-invariant |
L |
6.3743352017394 |
L(r)(E,1)/r! |
Ω |
0.16324236173449 |
Real period |
R |
1.6270121140738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576i1 15096a1 |
Quadratic twists by: -4 -3 |