Atkin-Lehner |
2- 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14820b |
Isogeny class |
Conductor |
14820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-889200 = -1 · 24 · 32 · 52 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46,145] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] [-2:15:1] |
Generators of the group modulo torsion |
j |
-687518464/55575 |
j-invariant |
L |
5.1915247652385 |
L(r)(E,1)/r! |
Ω |
2.7483095157229 |
Real period |
R |
0.15741569910336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280bu1 44460t1 74100x1 |
Quadratic twists by: -4 -3 5 |