Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296br |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-67258146816 = -1 · 213 · 32 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -2 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,12528] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:114:1] [18:126:1] |
Generators of the group modulo torsion |
j |
-361/126 |
j-invariant |
L |
10.960707779166 |
L(r)(E,1)/r! |
Ω |
0.89345559414526 |
Real period |
R |
1.0223141711837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162m1 121296cp1 |
Quadratic twists by: -4 -19 |