Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760dr |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-992839680000000 = -1 · 217 · 36 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10083,1565282] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:288:1] |
Generators of the group modulo torsion |
j |
-37966934881/332500000 |
j-invariant |
L |
7.0397559994029 |
L(r)(E,1)/r! |
Ω |
0.42268906842944 |
Real period |
R |
2.0818364282004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11970p1 10640be1 |
Quadratic twists by: -4 -3 |