Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160bt |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-1.136317244734E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 1 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5009254,2773332155] |
[a1,a2,a3,a4,a6] |
Generators |
[237887079716011479:17506498689114588125:59744371737357] |
Generators of the group modulo torsion |
j |
7384729019637956864/6036585758984375 |
j-invariant |
L |
8.1011898025447 |
L(r)(E,1)/r! |
Ω |
0.082363198587809 |
Real period |
R |
24.58983484568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540h1 12880v1 |
Quadratic twists by: -4 -7 |