Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550cj |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
851385937500 = 22 · 34 · 58 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-93188,10941492] |
[a1,a2,a3,a4,a6] |
Generators |
[168:102:1] |
Generators of the group modulo torsion |
j |
5727748633923961/54488700 |
j-invariant |
L |
10.944123185969 |
L(r)(E,1)/r! |
Ω |
0.80326830755683 |
Real period |
R |
1.7030615864916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650bu2 6510c2 |
Quadratic twists by: -3 5 |