Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650co |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
552000 |
Modular degree for the optimal curve |
Δ |
446696183116800 = 210 · 35 · 52 · 195 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50803,4284257] |
[a1,a2,a3,a4,a6] |
j |
580032481181709145/17867847324672 |
j-invariant |
L |
5.255482222517 |
L(r)(E,1)/r! |
Ω |
0.52554823767954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
82650l2 |
Quadratic twists by: 5 |