Atkin-Lehner |
2+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24650m |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
197568 |
Modular degree for the optimal curve |
Δ |
-42309969920000 = -1 · 214 · 54 · 173 · 292 |
Discriminant |
Eigenvalues |
2+ -3 5- 3 4 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14467,-735659] |
[a1,a2,a3,a4,a6] |
Generators |
[454:9053:1] |
Generators of the group modulo torsion |
j |
-535791753660825/67695951872 |
j-invariant |
L |
2.8007534457784 |
L(r)(E,1)/r! |
Ω |
0.21613085633576 |
Real period |
R |
1.0798833837911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24650bi1 |
Quadratic twists by: 5 |