Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bz |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-10552001625 = -1 · 37 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11- 1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,535,-1438] |
[a1,a2,a3,a4,a6] |
Generators |
[30:179:8] [4:25:1] |
Generators of the group modulo torsion |
j |
186169411/115797 |
j-invariant |
L |
6.5750127695897 |
L(r)(E,1)/r! |
Ω |
0.73994942721893 |
Real period |
R |
0.3702399857659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925y1 71775bx1 |
Quadratic twists by: -3 5 |