Atkin-Lehner |
2- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730bc |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
151770320748800 = 28 · 52 · 136 · 173 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -6 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-431545,109078137] |
[a1,a2,a3,a4,a6] |
Generators |
[-646:11203:1] [404:-1047:1] |
Generators of the group modulo torsion |
j |
1841373668746009/31443200 |
j-invariant |
L |
8.5548325968856 |
L(r)(E,1)/r! |
Ω |
0.5302329182173 |
Real period |
R |
0.33612714899153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
170b1 |
Quadratic twists by: 13 |