Atkin-Lehner |
2+ 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72688a |
Isogeny class |
Conductor |
72688 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1618497878136832 = 211 · 72 · 113 · 594 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48667,-3651030] |
[a1,a2,a3,a4,a6] |
Generators |
[441:-7788:1] |
Generators of the group modulo torsion |
j |
6224399896876002/790282167059 |
j-invariant |
L |
3.6370994948104 |
L(r)(E,1)/r! |
Ω |
0.32411775412569 |
Real period |
R |
0.46756405787198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36344a2 |
Quadratic twists by: -4 |