Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591v |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-33343552159533 = -1 · 39 · 77 · 112 · 17 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11- -6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5517,320854] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-454:1] |
Generators of the group modulo torsion |
j |
-210554265625/378006237 |
j-invariant |
L |
5.8263127115643 |
L(r)(E,1)/r! |
Ω |
0.58577977813592 |
Real period |
R |
0.71044648721883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000192776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43197i1 129591k1 |
Quadratic twists by: -3 -11 |