Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cc |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4741632 |
Modular degree for the optimal curve |
Δ |
-1.6432504324984E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25658851,50020048385] |
[a1,a2,a3,a4,a6] |
Generators |
[4087:113890:1] |
Generators of the group modulo torsion |
j |
-9591639636223/843648 |
j-invariant |
L |
6.439481638329 |
L(r)(E,1)/r! |
Ω |
0.17344731501542 |
Real period |
R |
1.3259443483643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686cy1 3822c1 |
Quadratic twists by: -7 13 |