Atkin-Lehner |
2- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
806d |
Isogeny class |
Conductor |
806 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-4323977216 = -1 · 211 · 133 · 312 |
Discriminant |
Eigenvalues |
2- -3 1 -3 0 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,318,-2367] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1543:1] |
Generators of the group modulo torsion |
j |
3566849562639/4323977216 |
j-invariant |
L |
2.1907922081772 |
L(r)(E,1)/r! |
Ω |
0.74142160377192 |
Real period |
R |
0.044770507316144 |
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 |
6448n1 25792f1 7254d1 20150b1 |
Quadratic twists by: -4 8 -3 5 |