Atkin-Lehner |
2- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90304n |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-90304 = -1 · 26 · 17 · 83 |
Discriminant |
Eigenvalues |
2- -2 3 -4 -4 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] [40:257:1] |
Generators of the group modulo torsion |
j |
2097152/1411 |
j-invariant |
L |
7.8962130408494 |
L(r)(E,1)/r! |
Ω |
2.1338198800055 |
Real period |
R |
3.7005058929268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90304f1 22576e1 |
Quadratic twists by: -4 8 |