Atkin-Lehner |
7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112651d |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-48997380167080499 = -1 · 710 · 113 · 194 |
Discriminant |
Eigenvalues |
0 1 -1 7- 11+ 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-107081,-17220626] |
[a1,a2,a3,a4,a6] |
j |
-867158982656/312900721 |
j-invariant |
L |
1.0369251736645 |
L(r)(E,1)/r! |
Ω |
0.12961570436428 |
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 |
16093a1 112651f1 |
Quadratic twists by: -7 -11 |