Atkin-Lehner |
2- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450be |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
6853924000000000000 = 214 · 512 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2269755,-1309575253] |
[a1,a2,a3,a4,a6] |
j |
82763805446973676089/438651136000000 |
j-invariant |
L |
3.4450967872047 |
L(r)(E,1)/r! |
Ω |
0.123039171057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13090b2 |
Quadratic twists by: 5 |