Atkin-Lehner |
2- 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
80240u |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61544448 |
Modular degree for the optimal curve |
Δ |
2.7290574351248E+29 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1739869307,12187940538794] |
[a1,a2,a3,a4,a6] |
Generators |
[149742168953076:343914326402724505:109764631872] |
Generators of the group modulo torsion |
j |
142204599831017182780352090961/66627378787225960448000000 |
j-invariant |
L |
8.0411056741778 |
L(r)(E,1)/r! |
Ω |
0.027645971837526 |
Real period |
R |
24.238328222894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030l1 |
Quadratic twists by: -4 |