Atkin-Lehner |
3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075c |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1524467112922265625 = 38 · 58 · 296 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2838813,-1841222094] |
[a1,a2,a3,a4,a6] |
Generators |
[-971:1457:1] |
Generators of the group modulo torsion |
j |
272223782641/164025 |
j-invariant |
L |
3.3377178132922 |
L(r)(E,1)/r! |
Ω |
0.11631375173512 |
Real period |
R |
3.5869767800816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998416 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12615f5 75b5 |
Quadratic twists by: 5 29 |