Atkin-Lehner |
2- 3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15990s |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-3788430750 = -1 · 2 · 37 · 53 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -6 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7176,-234594] |
[a1,a2,a3,a4,a6] |
j |
-40867190734750849/3788430750 |
j-invariant |
L |
3.6309833424528 |
L(r)(E,1)/r! |
Ω |
0.25935595303235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127920bd1 47970u1 79950a1 |
Quadratic twists by: -4 -3 5 |