Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150cv |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
252000 |
Modular degree for the optimal curve |
Δ |
-2365312500000 = -1 · 25 · 32 · 510 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1888,-80608] |
[a1,a2,a3,a4,a6] |
Generators |
[308:5192:1] |
Generators of the group modulo torsion |
j |
-90625/288 |
j-invariant |
L |
14.840400946173 |
L(r)(E,1)/r! |
Ω |
0.33390787969433 |
Real period |
R |
4.4444596263949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150p1 126150j1 |
Quadratic twists by: 5 29 |