Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520bi |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
619778304000000 = 214 · 310 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21963,-367238] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:688:1] |
Generators of the group modulo torsion |
j |
392383937161/207562500 |
j-invariant |
L |
5.7998267975478 |
L(r)(E,1)/r! |
Ω |
0.41626907390092 |
Real period |
R |
3.4832198457579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3690p1 118080ff1 9840ba1 |
Quadratic twists by: -4 8 -3 |