Atkin-Lehner |
2+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162k |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
722304 |
Modular degree for the optimal curve |
Δ |
155151085968896 = 29 · 237 · 89 |
Discriminant |
Eigenvalues |
2+ 2 -1 -4 4 -7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-125648,17080064] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:5617:1] |
Generators of the group modulo torsion |
j |
1481933914201/1048064 |
j-invariant |
L |
4.7377954040817 |
L(r)(E,1)/r! |
Ω |
0.57155046508441 |
Real period |
R |
2.0723434277924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094a1 |
Quadratic twists by: -23 |