Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bt |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1114087673036800 = -1 · 230 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3585,-1609217] |
[a1,a2,a3,a4,a6] |
Generators |
[138:737:1] |
Generators of the group modulo torsion |
j |
-19443408769/4249907200 |
j-invariant |
L |
3.6754404903389 |
L(r)(E,1)/r! |
Ω |
0.21841024924275 |
Real period |
R |
4.2070375624336 |
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 |
24640x1 6160g1 123200fs1 |
Quadratic twists by: -4 8 5 |