Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150bf |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
1031215698000000 = 27 · 36 · 56 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31976,1564598] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-1094:1] |
Generators of the group modulo torsion |
j |
327163297/93312 |
j-invariant |
L |
6.9849461149409 |
L(r)(E,1)/r! |
Ω |
0.4583848581308 |
Real period |
R |
0.42328248699926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999081655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046l1 126150bu1 |
Quadratic twists by: 5 29 |