Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382t |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23137240568523312 = 24 · 3 · 76 · 114 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-77887,4048034] |
[a1,a2,a3,a4,a6] |
Generators |
[267:1384:1] |
Generators of the group modulo torsion |
j |
444142553850073/196663299888 |
j-invariant |
L |
5.5015934105354 |
L(r)(E,1)/r! |
Ω |
0.34179986256373 |
Real period |
R |
1.0059968593581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1518f4 |
Quadratic twists by: -7 |