Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15400l |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-3388000000 = -1 · 28 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,-3388] |
[a1,a2,a3,a4,a6] |
j |
-810448/847 |
j-invariant |
L |
2.187545199676 |
L(r)(E,1)/r! |
Ω |
0.546886299919 |
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 |
30800o1 123200bd1 616c1 107800bt1 |
Quadratic twists by: -4 8 5 -7 |