Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13671j |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-55833744771 = -1 · 37 · 77 · 31 |
Discriminant |
Eigenvalues |
0 3- -3 7- 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37788114,-89408938523] |
[a1,a2,a3,a4,a6] |
Generators |
[2090795:248686673:125] |
Generators of the group modulo torsion |
j |
-69578264895333695488/651 |
j-invariant |
L |
2.3910773269609 |
L(r)(E,1)/r! |
Ω |
0.03044603587616 |
Real period |
R |
9.816866375834 |
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 |
4557b3 1953g3 |
Quadratic twists by: -3 -7 |