Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630d |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
9.7051827204874E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18915089612,-1001298694923696] |
[a1,a2,a3,a4,a6] |
j |
14526798467252802652531441/18837562500000000 |
j-invariant |
L |
0.61792853792887 |
L(r)(E,1)/r! |
Ω |
0.012873525205761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1830g3 |
Quadratic twists by: 61 |