Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bt |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
185381913600000000 = 216 · 34 · 58 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-187616,23373684] |
[a1,a2,a3,a4,a6] |
Generators |
[90:2688:1] |
Generators of the group modulo torsion |
j |
178309998550446049/45259256250000 |
j-invariant |
L |
9.3319837930607 |
L(r)(E,1)/r! |
Ω |
0.29935433466697 |
Real period |
R |
3.8967131552496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001327 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8970l2 |
Quadratic twists by: -4 |