Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15288b |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-690669278208 = -1 · 210 · 32 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3544,91708] |
[a1,a2,a3,a4,a6] |
Generators |
[82:588:1] |
Generators of the group modulo torsion |
j |
-834148/117 |
j-invariant |
L |
3.1487289227801 |
L(r)(E,1)/r! |
Ω |
0.87633259542056 |
Real period |
R |
0.29942293402018 |
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 |
30576t1 122304cn1 45864be1 15288m1 |
Quadratic twists by: -4 8 -3 -7 |