Atkin-Lehner |
2+ 3+ 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550j |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
292602663538200 = 23 · 311 · 52 · 173 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -1 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16600,-27320] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:353:1] |
Generators of the group modulo torsion |
j |
20237126459760625/11704106541528 |
j-invariant |
L |
3.1446680427789 |
L(r)(E,1)/r! |
Ω |
0.46050880979131 |
Real period |
R |
1.1381136006416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550cn1 |
Quadratic twists by: 5 |