Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568cm |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-134087022855991296 = -1 · 212 · 32 · 73 · 139 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -4 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2606205,1618652907] |
[a1,a2,a3,a4,a6] |
Generators |
[7338:6591:8] |
Generators of the group modulo torsion |
j |
-99021508447744/6782139 |
j-invariant |
L |
8.5204070519294 |
L(r)(E,1)/r! |
Ω |
0.31196821489336 |
Real period |
R |
1.706986211676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568p1 8736i1 |
Quadratic twists by: -4 13 |