Atkin-Lehner |
2+ 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864d |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
9398592 = 26 · 34 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:4:1] [-2:18:1] |
Generators of the group modulo torsion |
j |
601211584/146853 |
j-invariant |
L |
5.2126171879388 |
L(r)(E,1)/r! |
Ω |
2.1626166632172 |
Real period |
R |
1.2051643910358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24864bb1 49728bn2 74592bk1 |
Quadratic twists by: -4 8 -3 |