Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bd |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
255358439325 = 37 · 52 · 115 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-22080,1262601] |
[a1,a2,a3,a4,a6] |
Generators |
[89:49:1] |
Generators of the group modulo torsion |
j |
65321083863040/14011437 |
j-invariant |
L |
6.0720197084597 |
L(r)(E,1)/r! |
Ω |
0.95712672689531 |
Real period |
R |
0.31720040502791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925r1 71775bv1 |
Quadratic twists by: -3 5 |