Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040h |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
-15040 = -1 · 26 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -2 3 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2,-6] |
[a1,a2,a3,a4,a6] |
j |
-13824/235 |
j-invariant |
L |
1.693126019481 |
L(r)(E,1)/r! |
Ω |
1.693126019481 |
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 |
15040o1 7520a1 75200q1 |
Quadratic twists by: -4 8 5 |