Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728bk |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
158263934976 = 218 · 32 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1377,4095] |
[a1,a2,a3,a4,a6] |
j |
1102302937/603729 |
j-invariant |
L |
1.781832917339 |
L(r)(E,1)/r! |
Ω |
0.89091645860269 |
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 |
49728dn2 777a2 |
Quadratic twists by: -4 8 |