Atkin-Lehner |
5- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107065f |
Isogeny class |
Conductor |
107065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
136416 |
Modular degree for the optimal curve |
Δ |
-239325713515 = -1 · 5 · 78 · 192 · 23 |
Discriminant |
Eigenvalues |
-2 0 5- 7+ -4 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,343,-23410] |
[a1,a2,a3,a4,a6] |
j |
774144/41515 |
j-invariant |
L |
0.94633778320866 |
L(r)(E,1)/r! |
Ω |
0.47316902094268 |
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 |
107065d1 |
Quadratic twists by: -7 |