Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368b |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12560428941907968 = 211 · 32 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16413448,-25589099732] |
[a1,a2,a3,a4,a6] |
Generators |
[-1476461237739356613030416494:10442307420432938035755483:631368189940425552898408] |
Generators of the group modulo torsion |
j |
101264935549750/2601 |
j-invariant |
L |
6.1026733832763 |
L(r)(E,1)/r! |
Ω |
0.075006620313992 |
Real period |
R |
40.680898284038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736v2 49368u2 |
Quadratic twists by: -4 -11 |