Atkin-Lehner |
2- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
80066h |
Isogeny class |
Conductor |
80066 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-135434306158592 = -1 · 215 · 76 · 19 · 432 |
Discriminant |
Eigenvalues |
2- -1 2 7- -2 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8037,-628181] |
[a1,a2,a3,a4,a6] |
Generators |
[119:284:1] |
Generators of the group modulo torsion |
j |
-488001047617/1151172608 |
j-invariant |
L |
9.1514756181279 |
L(r)(E,1)/r! |
Ω |
0.23538075577006 |
Real period |
R |
1.2959818493658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1634d1 |
Quadratic twists by: -7 |