Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14278j |
Isogeny class |
Conductor |
14278 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-3261780544 = -1 · 26 · 114 · 592 |
Discriminant |
Eigenvalues |
2- -2 -1 0 11- -7 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-426,4324] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:94:1] [2:58:1] |
Generators of the group modulo torsion |
j |
-584043889/222784 |
j-invariant |
L |
6.7307221806095 |
L(r)(E,1)/r! |
Ω |
1.3301852673136 |
Real period |
R |
0.14055523663593 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114224o1 128502m1 14278e1 |
Quadratic twists by: -4 -3 -11 |