Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144h |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
7597454297104 = 24 · 710 · 412 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- -1 2 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45619,3747961] |
[a1,a2,a3,a4,a6] |
Generators |
[120:41:1] |
Generators of the group modulo torsion |
j |
2323060992/1681 |
j-invariant |
L |
2.8612028933105 |
L(r)(E,1)/r! |
Ω |
0.73511365173286 |
Real period |
R |
1.9460956047858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16072f1 128576de1 32144b1 |
Quadratic twists by: -4 8 -7 |