Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646bj |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-781049088 = -1 · 28 · 33 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -3 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-641,6545] |
[a1,a2,a3,a4,a6] |
Generators |
[15:4:1] [-21:112:1] |
Generators of the group modulo torsion |
j |
-219256227/5888 |
j-invariant |
L |
15.383028007343 |
L(r)(E,1)/r! |
Ω |
1.5900298639523 |
Real period |
R |
0.30233370837152 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646f1 119646bo1 |
Quadratic twists by: -3 17 |