Atkin-Lehner |
2+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650a |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
157760000000 = 212 · 57 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1817,23341] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:239:1] |
Generators of the group modulo torsion |
j |
42472019169/10096640 |
j-invariant |
L |
3.9403496582151 |
L(r)(E,1)/r! |
Ω |
0.96273076146036 |
Real period |
R |
2.0464442479422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930f1 |
Quadratic twists by: 5 |