Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944cp |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2067702784 = 210 · 74 · 292 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -1 -2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,-2911] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:-203:8] [-8:13:1] |
Generators of the group modulo torsion |
j |
4302592/841 |
j-invariant |
L |
7.1224644587829 |
L(r)(E,1)/r! |
Ω |
1.0464450087296 |
Real period |
R |
1.1343906272013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944c1 22736r1 90944dd1 |
Quadratic twists by: -4 8 -7 |