Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20172c |
Isogeny class |
Conductor |
20172 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1239840 |
Modular degree for the optimal curve |
Δ |
9.2777421151773E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -1 5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12244964,16489989960] |
[a1,a2,a3,a4,a6] |
j |
59090512/27 |
j-invariant |
L |
2.2502399963636 |
L(r)(E,1)/r! |
Ω |
0.18751999969696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688be1 60516k1 20172i1 |
Quadratic twists by: -4 -3 41 |