Atkin-Lehner |
2+ 3- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14274j |
Isogeny class |
Conductor |
14274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-721465056 = -1 · 25 · 37 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 4 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3276,73008] |
[a1,a2,a3,a4,a6] |
Generators |
[39:39:1] |
Generators of the group modulo torsion |
j |
-5334607002817/989664 |
j-invariant |
L |
3.2620914423221 |
L(r)(E,1)/r! |
Ω |
1.5567234532204 |
Real period |
R |
0.26193568899262 |
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 |
114192bx1 4758j1 |
Quadratic twists by: -4 -3 |