Atkin-Lehner |
2+ 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57528f |
Isogeny class |
Conductor |
57528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20279310336 = 211 · 36 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18099,-937170] |
[a1,a2,a3,a4,a6] |
Generators |
[-1069608:28405:13824] |
Generators of the group modulo torsion |
j |
439167275874/13583 |
j-invariant |
L |
7.3019598812471 |
L(r)(E,1)/r! |
Ω |
0.41161075659162 |
Real period |
R |
8.8699818510123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056k2 6392b2 |
Quadratic twists by: -4 -3 |