Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138w |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1169280 |
Modular degree for the optimal curve |
Δ |
2.8618377314853E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 1 0 -4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9680909,-8253958219] |
[a1,a2,a3,a4,a6] |
Generators |
[-2297:44272:1] |
Generators of the group modulo torsion |
j |
327163297/93312 |
j-invariant |
L |
8.3603964023135 |
L(r)(E,1)/r! |
Ω |
0.08744664795772 |
Real period |
R |
6.8289772740351 |
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 |
121104bw1 5046e1 15138n1 |
Quadratic twists by: -4 -3 29 |