Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cg |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
41177553196032 = 210 · 38 · 112 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66349,6593005] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:3564:1] |
Generators of the group modulo torsion |
j |
31545211678394368/40212454293 |
j-invariant |
L |
3.8529727043848 |
L(r)(E,1)/r! |
Ω |
0.64258627614125 |
Real period |
R |
2.9980197585875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144ba1 19536j1 |
Quadratic twists by: -4 8 |