Atkin-Lehner |
2- 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100bb |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
22329300000000 = 28 · 3 · 58 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-405333,99191463] |
[a1,a2,a3,a4,a6] |
j |
73647951708160/223293 |
j-invariant |
L |
3.5439351682779 |
L(r)(E,1)/r! |
Ω |
0.59065586287797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100g1 |
Quadratic twists by: 5 |