Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312r |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2454491699675136 = -1 · 216 · 36 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27616,1609716] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:558:1] |
Generators of the group modulo torsion |
j |
568630774259423/599241137616 |
j-invariant |
L |
5.633925541176 |
L(r)(E,1)/r! |
Ω |
0.30328470052547 |
Real period |
R |
3.0960598690574 |
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 |
1914l2 61248bx2 45936bw2 |
Quadratic twists by: -4 8 -3 |