Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bu |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
17434139074560000 = 216 · 32 · 54 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-846456,-299961900] |
[a1,a2,a3,a4,a6] |
Generators |
[6950:574080:1] |
Generators of the group modulo torsion |
j |
16374854154935580409/4256381610000 |
j-invariant |
L |
4.0378187586733 |
L(r)(E,1)/r! |
Ω |
0.1574001672033 |
Real period |
R |
3.2066506285696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947447 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8970b2 |
Quadratic twists by: -4 |