Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
43800w |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
10512000000 = 210 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-808,7612] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:100:1] |
Generators of the group modulo torsion |
j |
3650692/657 |
j-invariant |
L |
4.4956139804204 |
L(r)(E,1)/r! |
Ω |
1.2219517235786 |
Real period |
R |
1.8395219277781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600s1 1752c1 |
Quadratic twists by: -4 5 |