Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
29524i |
Isogeny class |
Conductor |
29524 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-204193125427456 = -1 · 28 · 118 · 612 |
Discriminant |
Eigenvalues |
2- 0 -3 2 11- 5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14641,87846] |
[a1,a2,a3,a4,a6] |
j |
6324912/3721 |
j-invariant |
L |
0.684828728592 |
L(r)(E,1)/r! |
Ω |
0.3424143642956 |
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 |
118096bd1 29524e1 |
Quadratic twists by: -4 -11 |