Atkin-Lehner |
2- 3- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82584f |
Isogeny class |
Conductor |
82584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-1707329574201010176 = -1 · 211 · 315 · 31 · 374 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -1 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94107,63840598] |
[a1,a2,a3,a4,a6] |
Generators |
[359138:15968016:2197] |
Generators of the group modulo torsion |
j |
-61735080432818/1143562439853 |
j-invariant |
L |
7.8479725086705 |
L(r)(E,1)/r! |
Ω |
0.22370606711654 |
Real period |
R |
4.3852032118721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27528b1 |
Quadratic twists by: -3 |