Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
94269l |
Isogeny class |
Conductor |
94269 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1008216 |
Modular degree for the optimal curve |
Δ |
8527421228689461 = 3 · 7 · 678 |
Discriminant |
Eigenvalues |
-2 3- 3 7- 2 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-100254,-11415070] |
[a1,a2,a3,a4,a6] |
Generators |
[-22445469650895:114036882252337:125525735343] |
Generators of the group modulo torsion |
j |
274432/21 |
j-invariant |
L |
6.0294913974087 |
L(r)(E,1)/r! |
Ω |
0.26960133108076 |
Real period |
R |
22.364471915766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94269d1 |
Quadratic twists by: -67 |