Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bl |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-244093752999936 = -1 · 215 · 36 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5181,-737854] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1136:1] |
Generators of the group modulo torsion |
j |
5150827583/81746504 |
j-invariant |
L |
3.5695649785964 |
L(r)(E,1)/r! |
Ω |
0.27123636080342 |
Real period |
R |
3.2900870738929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3906l2 124992ep2 3472d2 |
Quadratic twists by: -4 8 -3 |