Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800bb |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
659374625000000 = 26 · 59 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87458,9849088] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1274:1] |
Generators of the group modulo torsion |
j |
591857683136/5274997 |
j-invariant |
L |
4.551658440706 |
L(r)(E,1)/r! |
Ω |
0.5137601853937 |
Real period |
R |
1.476583358299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800ch1 72800cb1 |
Quadratic twists by: -4 5 |