Atkin-Lehner |
2+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22550b |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5733365687500 = -1 · 22 · 56 · 113 · 413 |
Discriminant |
Eigenvalues |
2+ 2 5+ -5 11+ -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1900,111500] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:226:1] |
Generators of the group modulo torsion |
j |
48507321023/366935404 |
j-invariant |
L |
4.3915282370673 |
L(r)(E,1)/r! |
Ω |
0.55343430640213 |
Real period |
R |
3.9675244073832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
902b2 |
Quadratic twists by: 5 |