Atkin-Lehner |
3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4329f |
Isogeny class |
Conductor |
4329 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
28345792264569 = 316 · 13 · 373 |
Discriminant |
Eigenvalues |
-1 3- -2 2 -4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-124196,-16813434] |
[a1,a2,a3,a4,a6] |
Generators |
[3276:184713:1] |
Generators of the group modulo torsion |
j |
290613464285776633/38883116961 |
j-invariant |
L |
2.0738484071567 |
L(r)(E,1)/r! |
Ω |
0.25431759762544 |
Real period |
R |
8.1545611728021 |
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 |
69264z1 1443d1 108225m1 56277k1 |
Quadratic twists by: -4 -3 5 13 |