Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064b |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2605965115392 = 221 · 34 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78913,-8505791] |
[a1,a2,a3,a4,a6] |
Generators |
[108776465:5442775668:42875] |
Generators of the group modulo torsion |
j |
207317019156625/9940968 |
j-invariant |
L |
7.5311201204231 |
L(r)(E,1)/r! |
Ω |
0.28484802135596 |
Real period |
R |
13.219540786528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064df2 4002n2 |
Quadratic twists by: -4 8 |