Atkin-Lehner |
2- 3- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706be |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-3434876928 = -1 · 212 · 35 · 7 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,357,-1071] |
[a1,a2,a3,a4,a6] |
Generators |
[6:33:1] |
Generators of the group modulo torsion |
j |
5030976935375/3434876928 |
j-invariant |
L |
9.1866668625761 |
L(r)(E,1)/r! |
Ω |
0.79836565888024 |
Real period |
R |
0.19178068679835 |
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 |
62118q1 |
Quadratic twists by: -3 |