Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640f |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-4336640 = -1 · 210 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32,72] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] [97:957:1] |
Generators of the group modulo torsion |
j |
3538944/4235 |
j-invariant |
L |
7.1629250383463 |
L(r)(E,1)/r! |
Ω |
1.6430143127741 |
Real period |
R |
4.3596242483439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640bl1 1540a1 123200cc1 |
Quadratic twists by: -4 8 5 |