Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760x |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.6970944618063E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21733616,39002705280] |
[a1,a2,a3,a4,a6] |
j |
277178635539869287560049/23674547025894375 |
j-invariant |
L |
1.4490013739445 |
L(r)(E,1)/r! |
Ω |
0.18112517630241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4485e2 |
Quadratic twists by: -4 |