Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936m |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
419529445632 = 28 · 311 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7671,-256714] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1296:1] |
Generators of the group modulo torsion |
j |
267492843088/2247993 |
j-invariant |
L |
4.3087194937557 |
L(r)(E,1)/r! |
Ω |
0.51039536327226 |
Real period |
R |
2.110481307157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22968k1 15312e1 |
Quadratic twists by: -4 -3 |