Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cu |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
54743040 |
Modular degree for the optimal curve |
Δ |
-1.6810580989066E+27 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 6 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,54337485,-1966591218831] |
[a1,a2,a3,a4,a6] |
Generators |
[1241428699:189495521450:50653] |
Generators of the group modulo torsion |
j |
15001431500460925919/1421324083670155776 |
j-invariant |
L |
10.203796682364 |
L(r)(E,1)/r! |
Ω |
0.02245646949327 |
Real period |
R |
12.621698919203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966dn1 4998bk1 |
Quadratic twists by: -7 17 |