Atkin-Lehner |
2- 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bj |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-9504196160126976 = -1 · 226 · 37 · 7 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36336,-3871296] |
[a1,a2,a3,a4,a6] |
j |
1295278517023343/2320360390656 |
j-invariant |
L |
1.7169198184882 |
L(r)(E,1)/r! |
Ω |
0.21461496546092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bk1 |
Quadratic twists by: -4 |