Atkin-Lehner |
2- 3- 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642bo |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1247232 |
Modular degree for the optimal curve |
Δ |
-40881596738539284 = -1 · 22 · 313 · 74 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 3 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1060043,420458735] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:23884:1] |
Generators of the group modulo torsion |
j |
-180703368050876997481/56079007871796 |
j-invariant |
L |
8.8595588698995 |
L(r)(E,1)/r! |
Ω |
0.35486384843565 |
Real period |
R |
1.5603799358034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214j1 |
Quadratic twists by: -3 |