Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976bq |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
1313939890312192 = 210 · 112 · 139 |
Discriminant |
Eigenvalues |
2+ 0 0 4 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-351520,-80199288] |
[a1,a2,a3,a4,a6] |
Generators |
[6664403508138:4080192205476772:17779581] |
Generators of the group modulo torsion |
j |
442368000/121 |
j-invariant |
L |
8.6555128344798 |
L(r)(E,1)/r! |
Ω |
0.19607362291889 |
Real period |
R |
22.072099110765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999951863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118976co1 7436b1 118976t1 |
Quadratic twists by: -4 8 13 |