Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bg |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.4690898948298E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36654210,114075811930] |
[a1,a2,a3,a4,a6] |
Generators |
[-3579:448340:1] |
Generators of the group modulo torsion |
j |
-7470811550113286388118561/3386954588243903987310 |
j-invariant |
L |
4.6898420290974 |
L(r)(E,1)/r! |
Ω |
0.076133908341265 |
Real period |
R |
1.9249972370237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000056919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bh7 |
Quadratic twists by: -3 |