Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
94815m |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4472832 |
Modular degree for the optimal curve |
Δ |
247006910914430625 = 313 · 54 · 78 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42339758,-106029643548] |
[a1,a2,a3,a4,a6] |
Generators |
[-896819795143478990443543244:435905152440213641886281676:238736154212598429440117] |
Generators of the group modulo torsion |
j |
97870779730288961929/2880005625 |
j-invariant |
L |
4.4782200654966 |
L(r)(E,1)/r! |
Ω |
0.059185110582811 |
Real period |
R |
37.832319973393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999621223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31605h1 13545j1 |
Quadratic twists by: -3 -7 |