Atkin-Lehner |
2- 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370bd |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
53136 |
Modular degree for the optimal curve |
Δ |
-2331628497000 = -1 · 23 · 39 · 53 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3309,-5175] |
[a1,a2,a3,a4,a6] |
j |
4006875151770191/2331628497000 |
j-invariant |
L |
4.3554532986748 |
L(r)(E,1)/r! |
Ω |
0.48393925540833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88110bh1 |
Quadratic twists by: -3 |