Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14157j |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-50367250791 = -1 · 37 · 116 · 13 |
Discriminant |
Eigenvalues |
1 3- -2 4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,522,-9905] |
[a1,a2,a3,a4,a6] |
Generators |
[26:131:1] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
5.5111030985033 |
L(r)(E,1)/r! |
Ω |
0.57563153300911 |
Real period |
R |
2.3935029539183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4719d1 117a1 |
Quadratic twists by: -3 -11 |