Atkin-Lehner |
2+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234q |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190512 |
Modular degree for the optimal curve |
Δ |
-55615517170304 = -1 · 27 · 76 · 133 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -2 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82933,-9234259] |
[a1,a2,a3,a4,a6] |
j |
-536198730680521/472724096 |
j-invariant |
L |
0.84394729113849 |
L(r)(E,1)/r! |
Ω |
0.14065788181828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066a1 |
Quadratic twists by: -7 |