Atkin-Lehner |
2+ 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390d |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
4105282968313380 = 22 · 33 · 5 · 73 · 536 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100455,-11835639] |
[a1,a2,a3,a4,a6] |
Generators |
[2990:11707:8] |
Generators of the group modulo torsion |
j |
4152188428332734187/152047517344940 |
j-invariant |
L |
3.4447459363432 |
L(r)(E,1)/r! |
Ω |
0.26877172646125 |
Real period |
R |
6.4083115841415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
33390be4 |
Quadratic twists by: -3 |