Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650cj |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-1365104876800 = -1 · 28 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-66543,6601657] |
[a1,a2,a3,a4,a6] |
Generators |
[158:117:1] |
Generators of the group modulo torsion |
j |
-11079062208265/464128 |
j-invariant |
L |
7.8802571776026 |
L(r)(E,1)/r! |
Ω |
0.80369297080822 |
Real period |
R |
0.612816200794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650bq1 12950k1 |
Quadratic twists by: 5 -7 |