Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
90334n |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
305280 |
Modular degree for the optimal curve |
Δ |
288415224115264 = 26 · 314 · 474 |
Discriminant |
Eigenvalues |
2- -1 1 -3 5 -3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52875,4585849] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:1582:1] |
Generators of the group modulo torsion |
j |
17702254952881/312299584 |
j-invariant |
L |
8.16663551375 |
L(r)(E,1)/r! |
Ω |
0.54836556528779 |
Real period |
R |
0.20684284441135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334x1 |
Quadratic twists by: -31 |