Atkin-Lehner |
2+ 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730k |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
1776407324178406500 = 22 · 311 · 53 · 710 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-303525,-5457375] |
[a1,a2,a3,a4,a6] |
Generators |
[708:11229:1] |
Generators of the group modulo torsion |
j |
4242095018217176401/2436772735498500 |
j-invariant |
L |
3.5686955517125 |
L(r)(E,1)/r! |
Ω |
0.22099555713831 |
Real period |
R |
4.0370670771948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910bj1 |
Quadratic twists by: -3 |