Atkin-Lehner |
3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14091d |
Isogeny class |
Conductor |
14091 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
20000 |
Modular degree for the optimal curve |
Δ |
-2740431771 = -1 · 35 · 75 · 11 · 61 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 11- -6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6490,199108] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:619:1] |
Generators of the group modulo torsion |
j |
-30236026569158656/2740431771 |
j-invariant |
L |
3.1384513271474 |
L(r)(E,1)/r! |
Ω |
1.3728010754617 |
Real period |
R |
2.2861661337873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
42273f1 98637g1 |
Quadratic twists by: -3 -7 |