Atkin-Lehner |
3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
14157c |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-93308787 = -1 · 33 · 112 · 134 |
Discriminant |
Eigenvalues |
0 3+ 4 -1 11- 13- 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-198,-1169] |
[a1,a2,a3,a4,a6] |
Generators |
[25:97:1] |
Generators of the group modulo torsion |
j |
-262766592/28561 |
j-invariant |
L |
5.2204505361098 |
L(r)(E,1)/r! |
Ω |
0.63248154947503 |
Real period |
R |
1.0317396887788 |
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 |
14157d1 14157a1 |
Quadratic twists by: -3 -11 |