Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64980bf |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
689472 |
Modular degree for the optimal curve |
Δ |
15847702344817920 = 28 · 36 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 3 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-329232,-72458476] |
[a1,a2,a3,a4,a6] |
j |
1245184/5 |
j-invariant |
L |
1.5948466523944 |
L(r)(E,1)/r! |
Ω |
0.19935583212615 |
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 |
7220a1 64980bt1 |
Quadratic twists by: -3 -19 |