Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22200q |
Isogeny class |
Conductor |
22200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
899597280000000 = 211 · 3 · 57 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27408,974688] |
[a1,a2,a3,a4,a6] |
Generators |
[749127687:-35688332350:328509] |
Generators of the group modulo torsion |
j |
71157653138/28112415 |
j-invariant |
L |
6.620424666136 |
L(r)(E,1)/r! |
Ω |
0.45298956163177 |
Real period |
R |
14.614960756022 |
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 |
44400a3 66600j3 4440b4 |
Quadratic twists by: -4 -3 5 |