Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600ek |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11404800 |
Modular degree for the optimal curve |
Δ |
2.0421053136859E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -3 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32332208,-16749642912] |
[a1,a2,a3,a4,a6] |
Generators |
[-42886:403875:8] |
Generators of the group modulo torsion |
j |
36028234/19683 |
j-invariant |
L |
7.5156296725399 |
L(r)(E,1)/r! |
Ω |
0.067608038925833 |
Real period |
R |
6.1758185620326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600u1 72600by1 |
Quadratic twists by: 5 -11 |