Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080dy |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1805235152486400 = 228 · 38 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35148,1501328] |
[a1,a2,a3,a4,a6] |
Generators |
[44:200:1] |
Generators of the group modulo torsion |
j |
25128011089/9446400 |
j-invariant |
L |
6.2570254366777 |
L(r)(E,1)/r! |
Ω |
0.42923804488638 |
Real period |
R |
3.644262995977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000022838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ba1 29520by1 39360ca1 |
Quadratic twists by: -4 8 -3 |