Atkin-Lehner |
2+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52142a |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
2190320294211584 = 212 · 297 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -3 2 0 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-182514,29851316] |
[a1,a2,a3,a4,a6] |
Generators |
[89:3740:1] |
Generators of the group modulo torsion |
j |
1130389181713/3682304 |
j-invariant |
L |
5.4868303878542 |
L(r)(E,1)/r! |
Ω |
0.46446835006851 |
Real period |
R |
1.4766426999373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798b1 |
Quadratic twists by: 29 |