Atkin-Lehner |
2- 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410bk |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
2832252480 = 26 · 38 · 5 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1337,18969] |
[a1,a2,a3,a4,a6] |
Generators |
[29:48:1] |
Generators of the group modulo torsion |
j |
362314607689/3885120 |
j-invariant |
L |
12.608194352374 |
L(r)(E,1)/r! |
Ω |
1.4379136517893 |
Real period |
R |
1.4613991052139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470k1 |
Quadratic twists by: -3 |