Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800hb |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
7715736000 = 26 · 39 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1515,-22300] |
[a1,a2,a3,a4,a6] |
Generators |
[64:378:1] |
Generators of the group modulo torsion |
j |
65939264/1323 |
j-invariant |
L |
4.7911428353329 |
L(r)(E,1)/r! |
Ω |
0.76617148601348 |
Real period |
R |
1.563338922033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ig1 50400ed2 33600bp1 100800ii1 |
Quadratic twists by: -4 8 -3 5 |