Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728dm |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-365333733015552 = -1 · 215 · 316 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2303,917857] |
[a1,a2,a3,a4,a6] |
Generators |
[4555:128016:125] |
Generators of the group modulo torsion |
j |
41206620664/11149100739 |
j-invariant |
L |
6.3250856568898 |
L(r)(E,1)/r! |
Ω |
0.41593109031101 |
Real period |
R |
7.603525925602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728ea3 24864ba2 |
Quadratic twists by: -4 8 |