Atkin-Lehner |
2- 3- 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642cd |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1364480 |
Modular degree for the optimal curve |
Δ |
-11781463269217824 = -1 · 25 · 319 · 7 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-331601,73765473] |
[a1,a2,a3,a4,a6] |
Generators |
[227:3072:1] |
Generators of the group modulo torsion |
j |
-5531494064128030153/16161129313056 |
j-invariant |
L |
13.696185720741 |
L(r)(E,1)/r! |
Ω |
0.40350387879063 |
Real period |
R |
1.6971566385904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214e1 |
Quadratic twists by: -3 |