Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810eu |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
1722240 |
Modular degree for the optimal curve |
Δ |
-159962759826186240 = -1 · 213 · 36 · 5 · 73 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-604202,-181638039] |
[a1,a2,a3,a4,a6] |
Generators |
[2849:144231:1] |
Generators of the group modulo torsion |
j |
-33461236500474563929/219427654082560 |
j-invariant |
L |
12.879051218938 |
L(r)(E,1)/r! |
Ω |
0.085586231268947 |
Real period |
R |
0.38584720674306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090c1 |
Quadratic twists by: -3 |