Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222d |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-63587171518409088 = -1 · 27 · 36 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-474507,126511429] |
[a1,a2,a3,a4,a6] |
j |
-56082417564948625/301817304448 |
j-invariant |
L |
0.70249418205331 |
L(r)(E,1)/r! |
Ω |
0.35124709190718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358i2 57222ba2 |
Quadratic twists by: -3 17 |