Atkin-Lehner |
3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15129a |
Isogeny class |
Conductor |
15129 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
728 |
Modular degree for the optimal curve |
Δ |
-45387 = -1 · 33 · 412 |
Discriminant |
Eigenvalues |
0 3+ 0 1 0 7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,10] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.3706361426553 |
L(r)(E,1)/r! |
Ω |
2.854116507993 |
Real period |
R |
0.76567234210922 |
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 |
15129a2 15129b1 |
Quadratic twists by: -3 41 |