Atkin-Lehner |
3- 5- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123165q |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
1.045537218351E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1414067,420916466] |
[a1,a2,a3,a4,a6] |
j |
428949195590567265769/143420743258025625 |
j-invariant |
L |
2.7780971408495 |
L(r)(E,1)/r! |
Ω |
0.17363107904164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055k1 |
Quadratic twists by: -3 |