Atkin-Lehner |
2+ 3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bu |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
277756931702250000 = 24 · 38 · 56 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-311904,62145328] |
[a1,a2,a3,a4,a6] |
Generators |
[612:-10316:1] |
Generators of the group modulo torsion |
j |
4603199529814599169/381010880250000 |
j-invariant |
L |
4.7804796158798 |
L(r)(E,1)/r! |
Ω |
0.3017011336928 |
Real period |
R |
0.33010590313267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001175 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030z2 |
Quadratic twists by: -3 |