Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550cy |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3030764320631250000 = 24 · 33 · 58 · 7 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1040855,-399792353] |
[a1,a2,a3,a4,a6] |
Generators |
[1289:19330:1] |
Generators of the group modulo torsion |
j |
295603947373958523/7184033945200 |
j-invariant |
L |
12.950250069311 |
L(r)(E,1)/r! |
Ω |
0.14969085876062 |
Real period |
R |
5.4070812254631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999666898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550e2 23310c2 |
Quadratic twists by: -3 5 |