Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cf |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-2.04999405039E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-413800,-240901783] |
[a1,a2,a3,a4,a6] |
Generators |
[9837:968581:1] |
Generators of the group modulo torsion |
j |
-1623435815226889/4247100000000 |
j-invariant |
L |
10.421239686269 |
L(r)(E,1)/r! |
Ω |
0.087503222274563 |
Real period |
R |
3.7217342599447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290e1 |
Quadratic twists by: 13 |