Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012k |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14256 |
Modular degree for the optimal curve |
Δ |
-2492336 = -1 · 24 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-56] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
278528/539 |
j-invariant |
L |
4.1494338456723 |
L(r)(E,1)/r! |
Ω |
1.3440629422461 |
Real period |
R |
0.51453863209742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89012s1 |
Quadratic twists by: 17 |