Atkin-Lehner |
2+ 3- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32214n |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-4256132235264 = -1 · 222 · 33 · 72 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,948,98698] |
[a1,a2,a3,a4,a6] |
Generators |
[209:2967:1] |
Generators of the group modulo torsion |
j |
94364164778183/4256132235264 |
j-invariant |
L |
6.6831410336098 |
L(r)(E,1)/r! |
Ω |
0.590203055905 |
Real period |
R |
0.94362171441742 |
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 |
96642ce1 |
Quadratic twists by: -3 |