Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560bi |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4589751600 = -1 · 24 · 34 · 52 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,345,2250] |
[a1,a2,a3,a4,a6] |
Generators |
[75:675:1] |
Generators of the group modulo torsion |
j |
283009869824/286859475 |
j-invariant |
L |
8.0206291784641 |
L(r)(E,1)/r! |
Ω |
0.907300930953 |
Real period |
R |
2.2100245091937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120h1 |
Quadratic twists by: -4 |