Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290p |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1436160 |
Modular degree for the optimal curve |
Δ |
-2.9152171255867E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-271163,-265510307] |
[a1,a2,a3,a4,a6] |
Generators |
[43779:9137648:1] |
Generators of the group modulo torsion |
j |
-247854343/3276800 |
j-invariant |
L |
3.5443291288154 |
L(r)(E,1)/r! |
Ω |
0.089575827052701 |
Real period |
R |
9.8919799161203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290bt1 59290da1 |
Quadratic twists by: -7 -11 |