Atkin-Lehner |
2- 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624y |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
78144 |
Modular degree for the optimal curve |
Δ |
-1166437884672 = -1 · 28 · 311 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1427,48119] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-306:1] |
Generators of the group modulo torsion |
j |
1254444032000/4556397987 |
j-invariant |
L |
8.3297674806687 |
L(r)(E,1)/r! |
Ω |
0.61589819074942 |
Real period |
R |
0.3073769336086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18156a1 |
Quadratic twists by: -4 |