Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275i |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4216320 |
Modular degree for the optimal curve |
Δ |
4213121923828125 = 33 · 511 · 74 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11- -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25849950,50586854281] |
[a1,a2,a3,a4,a6] |
Generators |
[23410:6871:8] [2731:18958:1] |
Generators of the group modulo torsion |
j |
1885935710810898432/4159375 |
j-invariant |
L |
10.391697432265 |
L(r)(E,1)/r! |
Ω |
0.28601484296383 |
Real period |
R |
1.5138633661055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275c2 24255c1 121275bc1 |
Quadratic twists by: -3 5 -7 |