Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22200a |
Isogeny class |
Conductor |
22200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16428000000 = -1 · 28 · 3 · 56 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92,-6188] |
[a1,a2,a3,a4,a6] |
Generators |
[66:532:1] |
Generators of the group modulo torsion |
j |
21296/4107 |
j-invariant |
L |
4.267099791896 |
L(r)(E,1)/r! |
Ω |
0.58301024650328 |
Real period |
R |
3.6595409921942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44400l2 66600bi2 888d2 |
Quadratic twists by: -4 -3 5 |