Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430bq |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
1456 |
Product of Tamagawa factors cp |
deg |
186368 |
Modular degree for the optimal curve |
Δ |
-26256597120000000 = -1 · 213 · 38 · 57 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-273635,55620225] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:8815:1] |
Generators of the group modulo torsion |
j |
-2265889619542705406641/26256597120000000 |
j-invariant |
L |
8.685822094285 |
L(r)(E,1)/r! |
Ω |
0.37761112381433 |
Real period |
R |
0.015798096974499 |
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 |
115440cb1 43290o1 72150e1 |
Quadratic twists by: -4 -3 5 |