Atkin-Lehner |
2+ 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121128a |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
135360 |
Modular degree for the optimal curve |
Δ |
123073800192 = 211 · 35 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4328,109740] |
[a1,a2,a3,a4,a6] |
Generators |
[33:42:1] |
Generators of the group modulo torsion |
j |
1823743250/25029 |
j-invariant |
L |
6.5994833155508 |
L(r)(E,1)/r! |
Ω |
1.0487636632914 |
Real period |
R |
2.0975438555096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999728686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128m1 |
Quadratic twists by: -7 |