Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24864r |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-1043243712 = -1 · 26 · 35 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,238,-732] |
[a1,a2,a3,a4,a6] |
Generators |
[66:546:1] |
Generators of the group modulo torsion |
j |
23197894208/16300683 |
j-invariant |
L |
5.2320372344793 |
L(r)(E,1)/r! |
Ω |
0.87796430050717 |
Real period |
R |
2.9796412174486 |
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 |
24864u1 49728ez2 74592o1 |
Quadratic twists by: -4 8 -3 |