Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920bn |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-158850383040000000 = -1 · 212 · 37 · 57 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 4 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66288,-20269712] |
[a1,a2,a3,a4,a6] |
Generators |
[2818:2367:8] |
Generators of the group modulo torsion |
j |
-10788001140736/53198671875 |
j-invariant |
L |
3.401979195439 |
L(r)(E,1)/r! |
Ω |
0.13439890563861 |
Real period |
R |
6.3281378283415 |
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 |
2745b1 14640bi1 |
Quadratic twists by: -4 -3 |