Atkin-Lehner |
2- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46256bb |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
189504 |
Modular degree for the optimal curve |
Δ |
-4368902308757504 = -1 · 218 · 710 · 59 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,37616,-1480172] |
[a1,a2,a3,a4,a6] |
Generators |
[471138:8535232:4913] |
Generators of the group modulo torsion |
j |
5087327/3776 |
j-invariant |
L |
8.5516293655022 |
L(r)(E,1)/r! |
Ω |
0.24461844032601 |
Real period |
R |
8.7397636029674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5782i1 46256x1 |
Quadratic twists by: -4 -7 |