Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840b |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
139818436463001600 = 215 · 33 · 52 · 436 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-321228,67727152] |
[a1,a2,a3,a4,a6] |
Generators |
[24:7748:1] |
Generators of the group modulo torsion |
j |
4143336389555544/158034076225 |
j-invariant |
L |
7.2352861117954 |
L(r)(E,1)/r! |
Ω |
0.32455763161908 |
Real period |
R |
5.5731905223053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840l2 61920h2 123840q2 |
Quadratic twists by: -4 8 -3 |