Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bp |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
3.040152870388E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48771507,-100744222606] |
[a1,a2,a3,a4,a6] |
Generators |
[8233:236160:1] |
Generators of the group modulo torsion |
j |
4296697323040796357809/1018141045092000000 |
j-invariant |
L |
5.8356856861843 |
L(r)(E,1)/r! |
Ω |
0.058109550959495 |
Real period |
R |
4.1843994015239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6570o1 17520l1 |
Quadratic twists by: -4 -3 |