Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840q |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1733817417728000000 = -1 · 220 · 56 · 113 · 433 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,285504,-23880704] |
[a1,a2,a3,a4,a6] |
Generators |
[106:2750:1] |
Generators of the group modulo torsion |
j |
628345970980160831/423295268000000 |
j-invariant |
L |
2.9544101296717 |
L(r)(E,1)/r! |
Ω |
0.15061361673832 |
Real period |
R |
1.6346519622258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730e2 |
Quadratic twists by: -4 |