Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640bi |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62363303612825600 = 214 · 52 · 712 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-784561,266946735] |
[a1,a2,a3,a4,a6] |
Generators |
[597:3420:1] |
Generators of the group modulo torsion |
j |
3259751350395879376/3806353980275 |
j-invariant |
L |
3.0027729781668 |
L(r)(E,1)/r! |
Ω |
0.34876431184706 |
Real period |
R |
4.3048742032465 |
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 |
24640k4 6160i4 123200gi4 |
Quadratic twists by: -4 8 5 |