Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22932b |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-420876591408 = -1 · 24 · 33 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1764,-12691] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1372:1] |
Generators of the group modulo torsion |
j |
11943936/8281 |
j-invariant |
L |
4.345768400837 |
L(r)(E,1)/r! |
Ω |
0.53354684935988 |
Real period |
R |
2.0362637348767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728cn1 22932a1 3276a1 |
Quadratic twists by: -4 -3 -7 |