Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530bb |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-248749380 = -1 · 22 · 37 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6602,208109] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-3:1] |
Generators of the group modulo torsion |
j |
-43647670634329/341220 |
j-invariant |
L |
10.363890581581 |
L(r)(E,1)/r! |
Ω |
1.5735400696479 |
Real period |
R |
0.82329414273294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510e1 |
Quadratic twists by: -3 |