Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138l |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
23110752 = 25 · 3 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8702,311696] |
[a1,a2,a3,a4,a6] |
Generators |
[56:0:1] |
Generators of the group modulo torsion |
j |
14830727012009/4704 |
j-invariant |
L |
3.9134975162825 |
L(r)(E,1)/r! |
Ω |
1.7206816854992 |
Real period |
R |
2.2743878482947 |
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 |
97104bk2 36414cs2 84966s2 12138a2 |
Quadratic twists by: -4 -3 -7 17 |