Atkin-Lehner |
2+ 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850a |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-26884225000000 = -1 · 26 · 58 · 172 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5833,179741] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:113:1] [49:-787:1] |
Generators of the group modulo torsion |
j |
1404551713599/1720590400 |
j-invariant |
L |
6.6531901263893 |
L(r)(E,1)/r! |
Ω |
0.44706601256412 |
Real period |
R |
1.8602370621476 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10370f2 |
Quadratic twists by: 5 |