Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700p |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
135360 |
Modular degree for the optimal curve |
Δ |
-1942500000000 = -1 · 28 · 3 · 510 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17708,903588] |
[a1,a2,a3,a4,a6] |
Generators |
[84:126:1] |
Generators of the group modulo torsion |
j |
-245650000/777 |
j-invariant |
L |
7.3591452036026 |
L(r)(E,1)/r! |
Ω |
0.83414910365055 |
Real period |
R |
2.9407792797347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77700l1 |
Quadratic twists by: 5 |