Atkin-Lehner |
3- 5- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107415w |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
126976 |
Modular degree for the optimal curve |
Δ |
-832622753655 = -1 · 38 · 5 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4464,-121797] |
[a1,a2,a3,a4,a6] |
Generators |
[160062:3337125:343] |
Generators of the group modulo torsion |
j |
-13496571664129/1142143695 |
j-invariant |
L |
10.484343156788 |
L(r)(E,1)/r! |
Ω |
0.29062854190004 |
Real period |
R |
9.018679897708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805m1 |
Quadratic twists by: -3 |