Atkin-Lehner |
2+ 3+ 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882f |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-4889419186176 = -1 · 219 · 33 · 73 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -1 -6 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2994,-122924] |
[a1,a2,a3,a4,a6] |
Generators |
[71:101:1] |
Generators of the group modulo torsion |
j |
-109950428651643/181089599488 |
j-invariant |
L |
5.1973274535493 |
L(r)(E,1)/r! |
Ω |
0.30536085665636 |
Real period |
R |
2.8367134187423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126882bc1 |
Quadratic twists by: -3 |