Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bw |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
3094331625 = 38 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1742,28284] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-84:1] |
Generators of the group modulo torsion |
j |
2336752783/12375 |
j-invariant |
L |
3.6759006775511 |
L(r)(E,1)/r! |
Ω |
1.4288948578288 |
Real period |
R |
0.42875800802875 |
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 |
8085e1 121275ei1 24255bj1 |
Quadratic twists by: -3 5 -7 |