Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856h |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2697584220611328 = -1 · 28 · 3 · 378 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5020,-2493456] |
[a1,a2,a3,a4,a6] |
j |
21296/4107 |
j-invariant |
L |
1.7145506322424 |
L(r)(E,1)/r! |
Ω |
0.21431882902986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65712f2 98568w2 888d2 |
Quadratic twists by: -4 -3 37 |