Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dh |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
15360 |
Product of Tamagawa factors cp |
Δ |
3.1879541444989E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5252805353,-143991504636119] |
[a1,a2,a3,a4,a6] |
Generators |
[-39167:1307870:1] |
Generators of the group modulo torsion |
j |
21987209151523511892752120960841/437305095267337355464806400 |
j-invariant |
L |
9.7688019167221 |
L(r)(E,1)/r! |
Ω |
0.017755243862765 |
Real period |
R |
0.57311718255565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918462 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010k2 |
Quadratic twists by: -3 |