Atkin-Lehner |
2- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600bg |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
721056 |
Modular degree for the optimal curve |
Δ |
-57226237350880000 = -1 · 28 · 54 · 13 · 317 |
Discriminant |
Eigenvalues |
2- 2 5- -4 -4 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12967,-11499763] |
[a1,a2,a3,a4,a6] |
j |
1506915046400/357663983443 |
j-invariant |
L |
0.33169963241186 |
L(r)(E,1)/r! |
Ω |
0.16584984655573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80600b1 |
Quadratic twists by: 5 |