Atkin-Lehner |
2+ 3- 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986o |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-24913930938624 = -1 · 28 · 36 · 75 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1428,-240688] |
[a1,a2,a3,a4,a6] |
Generators |
[77:280:1] |
Generators of the group modulo torsion |
j |
-441928354113/34175488256 |
j-invariant |
L |
7.0100500758397 |
L(r)(E,1)/r! |
Ω |
0.29636319290508 |
Real period |
R |
1.182678930039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554n1 |
Quadratic twists by: -3 |