Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160di |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-1477181440 = -1 · 218 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -6 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240,2260] |
[a1,a2,a3,a4,a6] |
Generators |
[18:64:1] |
Generators of the group modulo torsion |
j |
-7649089/7360 |
j-invariant |
L |
4.1681664064465 |
L(r)(E,1)/r! |
Ω |
1.3783155708842 |
Real period |
R |
0.75602541561295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270r1 90160bn1 |
Quadratic twists by: -4 -7 |