Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312dd |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-1055808 = -1 · 26 · 33 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 1 3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20,54] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
-14526784/16497 |
j-invariant |
L |
7.3607750753179 |
L(r)(E,1)/r! |
Ω |
2.5068020701819 |
Real period |
R |
0.97877360870471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999316605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312ci1 58656e1 |
Quadratic twists by: -4 8 |