Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960c |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-25840227871872000 = -1 · 210 · 310 · 53 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25923,7899122] |
[a1,a2,a3,a4,a6] |
j |
-2580786074884/34615360125 |
j-invariant |
L |
1.2768324306689 |
L(r)(E,1)/r! |
Ω |
0.31920810766671 |
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 |
15480d4 123840gf3 10320e4 |
Quadratic twists by: -4 8 -3 |