Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400cx |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-2974289868000000 = -1 · 28 · 35 · 56 · 115 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35167,-653037] |
[a1,a2,a3,a4,a6] |
Generators |
[253:4950:1] |
Generators of the group modulo torsion |
j |
1202423168000/743572467 |
j-invariant |
L |
9.7825154229834 |
L(r)(E,1)/r! |
Ω |
0.2604035985181 |
Real period |
R |
0.37566744222837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5016b1 |
Quadratic twists by: 5 |