Atkin-Lehner |
2+ 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440k |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
71139920 = 24 · 5 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-895,10602] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:6992:27] |
Generators of the group modulo torsion |
j |
4960871643136/4446245 |
j-invariant |
L |
8.395933622718 |
L(r)(E,1)/r! |
Ω |
1.9342930057716 |
Real period |
R |
4.3405697055841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37720f1 |
Quadratic twists by: -4 |