Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608da |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-46509686784 = -1 · 215 · 37 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11+ -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,671,8159] |
[a1,a2,a3,a4,a6] |
Generators |
[5:108:1] |
Generators of the group modulo torsion |
j |
1018108216/1419363 |
j-invariant |
L |
10.659756943008 |
L(r)(E,1)/r! |
Ω |
0.76647722379317 |
Real period |
R |
0.99339052142637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608cs1 62304i1 |
Quadratic twists by: -4 8 |