Atkin-Lehner |
2+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650o |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
44640 |
Modular degree for the optimal curve |
Δ |
-890481250000 = -1 · 24 · 58 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 6 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1076,47298] |
[a1,a2,a3,a4,a6] |
Generators |
[53:347:1] |
Generators of the group modulo torsion |
j |
-352224985/2279632 |
j-invariant |
L |
2.6712037802058 |
L(r)(E,1)/r! |
Ω |
0.76397097290015 |
Real period |
R |
1.7482364349953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24650y1 |
Quadratic twists by: 5 |