Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160q |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1803648 |
Modular degree for the optimal curve |
Δ |
-8.12116340875E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-451388,-449015812] |
[a1,a2,a3,a4,a6] |
Generators |
[59775206126078538926870979839988511042567448542752080123:8566801325632958456607301458863799832287329390423316479809:2906963149044285553392425472758845471855251363459491] |
Generators of the group modulo torsion |
j |
-140654416896/1123046875 |
j-invariant |
L |
7.218608539541 |
L(r)(E,1)/r! |
Ω |
0.081148418578545 |
Real period |
R |
88.955628045345 |
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 |
45080s1 90160z1 |
Quadratic twists by: -4 -7 |