Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775be |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
230454407390625 = 313 · 56 · 11 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110592,-14109309] |
[a1,a2,a3,a4,a6] |
Generators |
[144152477322:-4785363721461:122763473] |
Generators of the group modulo torsion |
j |
13132563308857/20231937 |
j-invariant |
L |
8.8646741716779 |
L(r)(E,1)/r! |
Ω |
0.26182350115912 |
Real period |
R |
16.928721320872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23925u1 2871c1 |
Quadratic twists by: -3 5 |