Atkin-Lehner |
2+ 3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15990m |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-26223600 = -1 · 24 · 3 · 52 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-273,-1772] |
[a1,a2,a3,a4,a6] |
j |
-2238323410441/26223600 |
j-invariant |
L |
1.1742121828242 |
L(r)(E,1)/r! |
Ω |
0.58710609141211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920bp1 47970bg1 79950bd1 |
Quadratic twists by: -4 -3 5 |