Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032m |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3152179390464 = -1 · 211 · 36 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 2 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1251,-87102] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1612:1] |
Generators of the group modulo torsion |
j |
-145023426/2111317 |
j-invariant |
L |
7.0761704662964 |
L(r)(E,1)/r! |
Ω |
0.34174228269783 |
Real period |
R |
1.725513353321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29016g1 6448d1 |
Quadratic twists by: -4 -3 |