Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824w |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-24646697127936 = -1 · 212 · 36 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -6 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7851,358810] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-306:1] |
Generators of the group modulo torsion |
j |
-17923019113/8254129 |
j-invariant |
L |
3.1594492131619 |
L(r)(E,1)/r! |
Ω |
0.62818598238269 |
Real period |
R |
1.2573701506273 |
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 |
1989c2 127296da2 3536l2 |
Quadratic twists by: -4 8 -3 |