Atkin-Lehner |
2+ 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
107690s |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1494184292832880 = -1 · 24 · 5 · 119 · 892 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11- -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2418,-1858204] |
[a1,a2,a3,a4,a6] |
Generators |
[51869880:1211332598:91125] |
Generators of the group modulo torsion |
j |
881974079/843428080 |
j-invariant |
L |
5.963716443811 |
L(r)(E,1)/r! |
Ω |
0.22259568029014 |
Real period |
R |
13.395849479886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790p1 |
Quadratic twists by: -11 |