Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350bl |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-8808871500000 = -1 · 25 · 36 · 56 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1467,-144059] |
[a1,a2,a3,a4,a6] |
Generators |
[13955:1641494:1] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
5.3625997422381 |
L(r)(E,1)/r! |
Ω |
0.31741012740869 |
Real period |
R |
8.447430122177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150p1 2574y1 |
Quadratic twists by: -3 5 |