Atkin-Lehner |
2- 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858s |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
210305448765554688 = 232 · 34 · 72 · 132 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-209202,-29506428] |
[a1,a2,a3,a4,a6] |
j |
1012561331690334115873/210305448765554688 |
j-invariant |
L |
7.2479808743469 |
L(r)(E,1)/r! |
Ω |
0.22649940232495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119574r1 |
Quadratic twists by: -3 |