Atkin-Lehner |
2+ 3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bp |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
709447726102500 = 22 · 37 · 54 · 74 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23049,-408807] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:-741:1] |
Generators of the group modulo torsion |
j |
1857646382771089/973179322500 |
j-invariant |
L |
5.1040581624202 |
L(r)(E,1)/r! |
Ω |
0.41065186667398 |
Real period |
R |
0.25894085519222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999536912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cg1 |
Quadratic twists by: -3 |