Atkin-Lehner |
2- 3+ 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920bp |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5108613120 = 214 · 32 · 5 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69960,7145712] |
[a1,a2,a3,a4,a6] |
j |
9245265219744841/1247220 |
j-invariant |
L |
4.2471601373361 |
L(r)(E,1)/r! |
Ω |
1.0617897273252 |
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 |
15990m2 |
Quadratic twists by: -4 |