Atkin-Lehner |
2- 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36850ba |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-330839300000000 = -1 · 28 · 58 · 11 · 673 |
Discriminant |
Eigenvalues |
2- -1 5- 0 11- -6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84013,9378531] |
[a1,a2,a3,a4,a6] |
Generators |
[159:-348:1] |
Generators of the group modulo torsion |
j |
-167881746977905/846948608 |
j-invariant |
L |
6.5146113052221 |
L(r)(E,1)/r! |
Ω |
0.54436834013493 |
Real period |
R |
0.49863689289908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36850f1 |
Quadratic twists by: 5 |