Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024r |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2576950848 = 26 · 38 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165693,25959980] |
[a1,a2,a3,a4,a6] |
Generators |
[185:1280:1] |
Generators of the group modulo torsion |
j |
10782729081049024/55233 |
j-invariant |
L |
8.1849465729068 |
L(r)(E,1)/r! |
Ω |
0.97909237003741 |
Real period |
R |
4.1798643407112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024bn1 31008n1 |
Quadratic twists by: -4 -3 |