Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575bd |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
759360 |
Modular degree for the optimal curve |
Δ |
979565794921875 = 3 · 59 · 78 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 4 -4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-202763,-35194594] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:257:1] [21720:474439:27] |
Generators of the group modulo torsion |
j |
81879581/87 |
j-invariant |
L |
6.6501459642606 |
L(r)(E,1)/r! |
Ω |
0.22499873288006 |
Real period |
R |
14.778185370523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575cn1 106575cu1 |
Quadratic twists by: 5 -7 |