Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bh |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1113217926180048 = 24 · 38 · 139 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1115400,-453410269] |
[a1,a2,a3,a4,a6] |
Generators |
[-5984602234:362098555:9800344] |
Generators of the group modulo torsion |
j |
2725888000000/19773 |
j-invariant |
L |
6.1442698962038 |
L(r)(E,1)/r! |
Ω |
0.1469068625261 |
Real period |
R |
10.456063438004 |
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 |
6084f3 97344en3 8112t3 1872p3 |
Quadratic twists by: -4 8 -3 13 |