Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
14058h |
Isogeny class |
Conductor |
14058 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
200410848 = 25 · 36 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- -5 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149,-115] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:24:1] |
Generators of the group modulo torsion |
j |
498677257/274912 |
j-invariant |
L |
8.6102526514499 |
L(r)(E,1)/r! |
Ω |
1.4629643947026 |
Real period |
R |
0.58854833942831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464w1 1562a1 |
Quadratic twists by: -4 -3 |