Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600o |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
-1758348000000 = -1 · 28 · 38 · 56 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5700,-177500] |
[a1,a2,a3,a4,a6] |
j |
-7023616/603 |
j-invariant |
L |
4.3741748831898 |
L(r)(E,1)/r! |
Ω |
0.27338597196613 |
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 |
40200bg1 4824d1 |
Quadratic twists by: -3 5 |