Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dj |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-3433559548018359375 = -1 · 36 · 58 · 77 · 114 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-404480,133336522] |
[a1,a2,a3,a4,a6] |
Generators |
[328:5825:1] |
Generators of the group modulo torsion |
j |
-5461074081/2562175 |
j-invariant |
L |
2.7560752561637 |
L(r)(E,1)/r! |
Ω |
0.23397004788238 |
Real period |
R |
2.944901799223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13475h1 24255bn1 17325z1 |
Quadratic twists by: -3 5 -7 |