Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975co |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
114400 |
Modular degree for the optimal curve |
Δ |
-699545149875 = -1 · 35 · 53 · 116 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11- 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-403,-40496] |
[a1,a2,a3,a4,a6] |
Generators |
[38:22:1] |
Generators of the group modulo torsion |
j |
-32768/3159 |
j-invariant |
L |
8.0966603221558 |
L(r)(E,1)/r! |
Ω |
0.40025732030695 |
Real period |
R |
2.02286377061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975y1 975j1 |
Quadratic twists by: 5 -11 |