Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128l |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
11967757867570176 = 210 · 39 · 78 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 4 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72144,5260464] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:3528:1] |
Generators of the group modulo torsion |
j |
7034708548/2027349 |
j-invariant |
L |
12.185559114575 |
L(r)(E,1)/r! |
Ω |
0.37345623341371 |
Real period |
R |
0.6042434972388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128f1 |
Quadratic twists by: -7 |