Atkin-Lehner |
3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bq |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
20561809750502625 = 318 · 53 · 114 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-408987,100538496] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:12158:1] |
Generators of the group modulo torsion |
j |
83026222603966277/225644002749 |
j-invariant |
L |
5.0472229225055 |
L(r)(E,1)/r! |
Ω |
0.38506777567663 |
Real period |
R |
3.2768406250065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23925bf1 71775br1 |
Quadratic twists by: -3 5 |