Atkin-Lehner |
2- 7- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89474h |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3283200 |
Modular degree for the optimal curve |
Δ |
-4.0752601466133E+20 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -5 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,717669,-942828085] |
[a1,a2,a3,a4,a6] |
Generators |
[779:9018:1] |
Generators of the group modulo torsion |
j |
347463028536673167/3463913970040832 |
j-invariant |
L |
7.0415635158019 |
L(r)(E,1)/r! |
Ω |
0.083056074957823 |
Real period |
R |
2.8260278849907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12782b1 |
Quadratic twists by: -7 |