Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215bw |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-384707509333875 = -1 · 35 · 53 · 78 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 3 13- -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108781,13832636] |
[a1,a2,a3,a4,a6] |
Generators |
[53:2840:1] |
Generators of the group modulo torsion |
j |
-11240062477/30375 |
j-invariant |
L |
4.6285314462076 |
L(r)(E,1)/r! |
Ω |
0.5364307833725 |
Real period |
R |
0.28761283761478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215bp1 124215cp1 |
Quadratic twists by: -7 13 |