Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bt |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-5.8998768938861E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -5 13- -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10802379,13715431702] |
[a1,a2,a3,a4,a6] |
Generators |
[-3589:79092:1] |
Generators of the group modulo torsion |
j |
-3811170500576969572/16129443546333 |
j-invariant |
L |
6.4060963299993 |
L(r)(E,1)/r! |
Ω |
0.16398649031623 |
Real period |
R |
0.88783593165585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728bp1 15288o1 45864bg1 |
Quadratic twists by: -4 -3 -7 |