Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275de |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
398008405265625 = 39 · 56 · 76 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71892,-7339109] |
[a1,a2,a3,a4,a6] |
Generators |
[160008:330371:512] |
Generators of the group modulo torsion |
j |
30664297/297 |
j-invariant |
L |
7.8760372523705 |
L(r)(E,1)/r! |
Ω |
0.29173133151978 |
Real period |
R |
6.7493927414946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999068898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425y1 4851j1 2475g1 |
Quadratic twists by: -3 5 -7 |