Atkin-Lehner |
3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673d |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-273023904339 = -1 · 33 · 17 · 296 |
Discriminant |
Eigenvalues |
2 3+ -1 -2 3 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2523,54875] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:2519:8] [290:837:8] |
Generators of the group modulo torsion |
j |
-110592/17 |
j-invariant |
L |
21.078116359157 |
L(r)(E,1)/r! |
Ω |
0.94456451019408 |
Real period |
R |
2.7893960826945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673b1 153a1 |
Quadratic twists by: -3 29 |