Atkin-Lehner |
2+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52030l |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
41624000000000 = 212 · 59 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23543,1353306] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-868:1] |
Generators of the group modulo torsion |
j |
11926066647922801/344000000000 |
j-invariant |
L |
2.7781192014084 |
L(r)(E,1)/r! |
Ω |
0.64103022644777 |
Real period |
R |
0.24076860851025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52030bc1 |
Quadratic twists by: -11 |