Atkin-Lehner |
2- 3+ 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630bl |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
1585662480000000 = 210 · 39 · 57 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44253218,113320321057] |
[a1,a2,a3,a4,a6] |
Generators |
[2822589:-3833009:729] |
Generators of the group modulo torsion |
j |
486930503914036962264603/80560000000 |
j-invariant |
L |
11.695353024776 |
L(r)(E,1)/r! |
Ω |
0.27417370759302 |
Real period |
R |
8.5313454262509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90630e1 |
Quadratic twists by: -3 |