Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63800f |
Isogeny class |
Conductor |
63800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-10208000 = -1 · 28 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 11- -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-77] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
351232/319 |
j-invariant |
L |
4.8235475062331 |
L(r)(E,1)/r! |
Ω |
1.2549448401987 |
Real period |
R |
0.48045413541103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127600o1 63800q1 |
Quadratic twists by: -4 5 |