Atkin-Lehner |
3- 11- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55341d |
Isogeny class |
Conductor |
55341 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-4.7745180785801E+20 |
Discriminant |
Eigenvalues |
1 3- 3 -3 11- 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-499653,1060168558] |
[a1,a2,a3,a4,a6] |
Generators |
[29204:1934015:64] |
Generators of the group modulo torsion |
j |
-18923530771213426513/654940751519910141 |
j-invariant |
L |
7.6093980357731 |
L(r)(E,1)/r! |
Ω |
0.13841613816836 |
Real period |
R |
2.7487394665713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18447b1 |
Quadratic twists by: -3 |