Atkin-Lehner |
2- 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bo |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
266807165625000 = 23 · 38 · 58 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-556276,159643880] |
[a1,a2,a3,a4,a6] |
Generators |
[434:-100:1] |
Generators of the group modulo torsion |
j |
19036834323788028541249/266807165625000 |
j-invariant |
L |
9.6420637425929 |
L(r)(E,1)/r! |
Ω |
0.5031187126443 |
Real period |
R |
0.79852457450813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090bn4 |
Quadratic twists by: -3 |