Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976l |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-978526871039770624 = -1 · 223 · 11 · 139 |
Discriminant |
Eigenvalues |
2+ 2 3 1 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70529,48159617] |
[a1,a2,a3,a4,a6] |
Generators |
[199927:4907904:343] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
14.302532022723 |
L(r)(E,1)/r! |
Ω |
0.23304652106005 |
Real period |
R |
7.6715004892523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976dl1 3718q1 9152j1 |
Quadratic twists by: -4 8 13 |