Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296cd |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
37168975872 = 212 · 33 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-880,-3584] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:56:1] |
Generators of the group modulo torsion |
j |
2685619/1323 |
j-invariant |
L |
4.4689305255444 |
L(r)(E,1)/r! |
Ω |
0.92169110088668 |
Real period |
R |
1.2121551849805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998612278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7581d1 121296da1 |
Quadratic twists by: -4 -19 |