Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48360j |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
8930304 |
Modular degree for the optimal curve |
Δ |
2.5006894873565E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -6 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205746401,-1135959803901] |
[a1,a2,a3,a4,a6] |
Generators |
[-8285:5022:1] |
Generators of the group modulo torsion |
j |
3762534494718362401842586624/97683183099861328125 |
j-invariant |
L |
5.0732959752884 |
L(r)(E,1)/r! |
Ω |
0.039862742042504 |
Real period |
R |
0.62386821989115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720b1 |
Quadratic twists by: -4 |