Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32912v |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-164188613619712 = -1 · 212 · 119 · 17 |
Discriminant |
Eigenvalues |
2- 0 4 -5 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13552,106480] |
[a1,a2,a3,a4,a6] |
Generators |
[2805:81191:125] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
5.4729874714897 |
L(r)(E,1)/r! |
Ω |
0.35082316941151 |
Real period |
R |
3.9001040614493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2057d1 2992i1 |
Quadratic twists by: -4 -11 |