Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17700n |
Isogeny class |
Conductor |
17700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-3540000000 = -1 · 28 · 3 · 57 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,-2812] |
[a1,a2,a3,a4,a6] |
Generators |
[28:150:1] |
Generators of the group modulo torsion |
j |
21296/885 |
j-invariant |
L |
5.7177358096364 |
L(r)(E,1)/r! |
Ω |
0.67471046063822 |
Real period |
R |
0.70619623072934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800bf1 53100n1 3540a1 |
Quadratic twists by: -4 -3 5 |