Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fi |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
4.6696108759066E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14401407,-20777112344] |
[a1,a2,a3,a4,a6] |
Generators |
[25811483784:10744859070140:148877] |
Generators of the group modulo torsion |
j |
7079962908642659949376/100085966990454375 |
j-invariant |
L |
5.8358139218713 |
L(r)(E,1)/r! |
Ω |
0.077565755951979 |
Real period |
R |
18.809247232388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160et1 10080t3 6720cb1 100800mi1 |
Quadratic twists by: -4 8 -3 5 |