Atkin-Lehner |
2+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50840d |
Isogeny class |
Conductor |
50840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
252166400 = 28 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -6 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167,-326] |
[a1,a2,a3,a4,a6] |
Generators |
[18:50:1] |
Generators of the group modulo torsion |
j |
2012024016/985025 |
j-invariant |
L |
6.666881267393 |
L(r)(E,1)/r! |
Ω |
1.3956648540034 |
Real period |
R |
2.3884248600967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680f2 |
Quadratic twists by: -4 |