Atkin-Lehner |
2+ 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440m |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
555238400 = 210 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -4 4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280,-1500] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:20:1] |
Generators of the group modulo torsion |
j |
2379293284/542225 |
j-invariant |
L |
3.9727107243412 |
L(r)(E,1)/r! |
Ω |
1.1858476125197 |
Real period |
R |
0.83752555618662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37720m1 |
Quadratic twists by: -4 |