Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124384l |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-366186496 = -1 · 212 · 132 · 232 |
Discriminant |
Eigenvalues |
2- -2 1 2 -4 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1265,16927] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:92:1] [7:92:1] |
Generators of the group modulo torsion |
j |
-323662144/529 |
j-invariant |
L |
9.4973337379832 |
L(r)(E,1)/r! |
Ω |
1.6974905560663 |
Real period |
R |
0.69936572749101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124384r1 124384d1 |
Quadratic twists by: -4 13 |