Atkin-Lehner |
5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88985g |
Isogeny class |
Conductor |
88985 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1678320 |
Modular degree for the optimal curve |
Δ |
-5.282229933101E+19 |
Discriminant |
Eigenvalues |
-1 1 5- -2 3 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39045,349686122] |
[a1,a2,a3,a4,a6] |
Generators |
[49505:2463909:125] |
Generators of the group modulo torsion |
j |
-1369/10985 |
j-invariant |
L |
4.1135109859669 |
L(r)(E,1)/r! |
Ω |
0.159760261538 |
Real period |
R |
8.582674538552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88985b1 |
Quadratic twists by: 37 |