Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81180r |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
2556585504000 = 28 · 311 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 0 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37272,2768564] |
[a1,a2,a3,a4,a6] |
Generators |
[133:405:1] |
Generators of the group modulo torsion |
j |
30683458576384/13699125 |
j-invariant |
L |
6.7938746067613 |
L(r)(E,1)/r! |
Ω |
0.79961265312697 |
Real period |
R |
0.70803809199128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27060d1 |
Quadratic twists by: -3 |