Atkin-Lehner |
2+ 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142o |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-6.2814279342401E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6754473,6865155405] |
[a1,a2,a3,a4,a6] |
Generators |
[3903:197916:1] |
Generators of the group modulo torsion |
j |
-46748817498474857403793/861649922392326144 |
j-invariant |
L |
3.0357493293901 |
L(r)(E,1)/r! |
Ω |
0.16250659626979 |
Real period |
R |
2.3350970045808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21714n1 |
Quadratic twists by: -3 |