Atkin-Lehner |
3+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
128865f |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
228292208265 = 3 · 5 · 118 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2241,32814] |
[a1,a2,a3,a4,a6] |
Generators |
[42:101:1] |
Generators of the group modulo torsion |
j |
702595369/128865 |
j-invariant |
L |
3.659503673883 |
L(r)(E,1)/r! |
Ω |
0.94473707160519 |
Real period |
R |
3.8735684123613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715c1 |
Quadratic twists by: -11 |