Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bq |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-11687244800 = -1 · 210 · 52 · 73 · 113 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ -2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3488,-78308] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2702:1] |
Generators of the group modulo torsion |
j |
-534617980/1331 |
j-invariant |
L |
5.5723704936406 |
L(r)(E,1)/r! |
Ω |
0.31056341426947 |
Real period |
R |
4.4856945752528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107800bb1 107800bp1 |
Quadratic twists by: 5 -7 |