Atkin-Lehner |
2+ 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550b |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-92179687500000000 = -1 · 28 · 33 · 515 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 7 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62000,15744000] |
[a1,a2,a3,a4,a6] |
Generators |
[-4560:127280:27] |
Generators of the group modulo torsion |
j |
-1686901403185921/5899500000000 |
j-invariant |
L |
4.0261555556776 |
L(r)(E,1)/r! |
Ω |
0.29664660922464 |
Real period |
R |
1.6965285592205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110bn1 |
Quadratic twists by: 5 |