Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550a |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
158081652421875000 = 23 · 33 · 510 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-138450,5161500] |
[a1,a2,a3,a4,a6] |
Generators |
[-820336279:6467622398:2248091] |
Generators of the group modulo torsion |
j |
5213425/2808 |
j-invariant |
L |
4.5447540909982 |
L(r)(E,1)/r! |
Ω |
0.28290135844753 |
Real period |
R |
16.064801259956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999810047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550kk1 95550en1 |
Quadratic twists by: 5 -7 |