Atkin-Lehner |
2+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200z |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-192488320000 = -1 · 210 · 54 · 673 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 2 -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3800,-92600] |
[a1,a2,a3,a4,a6] |
j |
-9481881600/300763 |
j-invariant |
L |
1.8208098720592 |
L(r)(E,1)/r! |
Ω |
0.30346822820973 |
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 |
107200dh1 13400i1 107200n1 |
Quadratic twists by: -4 8 5 |