Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756y |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
57488275152 = 24 · 36 · 7 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28020,-1805267] |
[a1,a2,a3,a4,a6] |
Generators |
[-752389527780:28491707413:7762392000] |
Generators of the group modulo torsion |
j |
208583809024000/4928693 |
j-invariant |
L |
6.5859920973568 |
L(r)(E,1)/r! |
Ω |
0.36900575348969 |
Real period |
R |
17.847938779002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7084j1 |
Quadratic twists by: -3 |